Glencoe Algebra 2 Student Edition C2014
1st Edition
ISBN: 9780076639908
Author: McGraw-Hill Glencoe
Publisher: MCG
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Question
Chapter 6.5, Problem 44PPS
To determine
To Simplify:
2√2+2√5√5+√2
Expert Solution & Answer
Answer to Problem 44PPS
2
Explanation of Solution
Given Information:
Given expression to simplify:
2√2+2√5√5+√2
Concept Used :
- Definition of nth root:
- Words : For any real numbers a and b , and any positive integer n , if an=b then a is the nth root of b . That is a=n√b
- n√bHereb=radicandn=index√=radicalsign
Product Property of Radicals: For any real number a and b and any integer n > 1 , n√ab=n√a⋅n√b , if n is even and a & b are both nonnegative or if n is odd.
- Quotient Property of Radicals:
- Rationalizing the denominator :
- Like radical expressions : If the radicals have both the index and radicand identical , then they are like radicals.
- In order to add or subtract , the radicals must be like radicals.
For any real numbers a and b≠0 and any integern >1,n√ab=n√an√b,if all roots are defined.
To eliminate radicals from a denominator or fractions from a radicand , use this process.
To rationalize a denominator, multiply the numerator and denominator by a quantity so that the radicand has an exact root.
Calculation:
- Given 2√2+2√5√5+√2
- 2√2+2√5√5+√2=2√2+2√5√5+√2⋅√5−√2√5−√2.................................[Rationalizing the denominator]=(2√2+2√5)(√5−√2)(√5+√2)(√5−√2)=2√2⋅√5−2√2⋅√2+2√5⋅√5−2√5⋅√2(√5)2−(√2)2..[Distributive property & (a+b)(a-b)=a2−b2]=2√10−4+10−2√105−2=(2−2)√10+63..........................................[Subtracting like radicals]=63=2
- So, the solution is 2
Chapter 6 Solutions
Glencoe Algebra 2 Student Edition C2014
Ch. 6.1 - Prob. 1AGPCh. 6.1 - Prob. 1BGPCh. 6.1 - Prob. 2AGPCh. 6.1 - Prob. 2BGPCh. 6.1 - Prob. 3AGPCh. 6.1 - Prob. 3BGPCh. 6.1 - Prob. 4GPCh. 6.1 - Prob. 1CYUCh. 6.1 - Prob. 2CYUCh. 6.1 - Prob. 3CYU
Ch. 6.1 - Prob. 4CYUCh. 6.1 - Prob. 5CYUCh. 6.1 - Prob. 6CYUCh. 6.1 - Prob. 7CYUCh. 6.1 - Prob. 8PPSCh. 6.1 - Prob. 9PPSCh. 6.1 - Prob. 10PPSCh. 6.1 - Prob. 11PPSCh. 6.1 - Prob. 12PPSCh. 6.1 - Prob. 13PPSCh. 6.1 - Prob. 14PPSCh. 6.1 - Prob. 15PPSCh. 6.1 - Prob. 16PPSCh. 6.1 - Prob. 17PPSCh. 6.1 - Prob. 18PPSCh. 6.1 - Prob. 19PPSCh. 6.1 - Prob. 20PPSCh. 6.1 - Prob. 21PPSCh. 6.1 - Prob. 22PPSCh. 6.1 - Prob. 23PPSCh. 6.1 - Prob. 24PPSCh. 6.1 - Prob. 25PPSCh. 6.1 - Prob. 26PPSCh. 6.1 - Prob. 27PPSCh. 6.1 - Prob. 28PPSCh. 6.1 - Prob. 29PPSCh. 6.1 - Prob. 30PPSCh. 6.1 - Prob. 31PPSCh. 6.1 - Prob. 32PPSCh. 6.1 - Prob. 33PPSCh. 6.1 - Prob. 34PPSCh. 6.1 - Prob. 35PPSCh. 6.1 - Prob. 36PPSCh. 6.1 - Prob. 37PPSCh. 6.1 - Prob. 38PPSCh. 6.1 - Prob. 39PPSCh. 6.1 - Prob. 40PPSCh. 6.1 - Prob. 41PPSCh. 6.1 - Prob. 42PPSCh. 6.1 - Prob. 43PPSCh. 6.1 - Prob. 44PPSCh. 6.1 - Prob. 45PPSCh. 6.1 - Prob. 46PPSCh. 6.1 - Prob. 47PPSCh. 6.1 - Prob. 48PPSCh. 6.1 - Prob. 49PPSCh. 6.1 - Prob. 50PPSCh. 6.1 - Prob. 51PPSCh. 6.1 - Prob. 52PPSCh. 6.1 - Prob. 53PPSCh. 6.1 - Prob. 54PPSCh. 6.1 - Prob. 55PPSCh. 6.1 - Prob. 56PPSCh. 6.1 - Prob. 57PPSCh. 6.1 - Prob. 58PPSCh. 6.1 - Prob. 59HPCh. 6.1 - Prob. 60HPCh. 6.1 - Prob. 61HPCh. 6.1 - Prob. 62HPCh. 6.1 - Prob. 63HPCh. 6.1 - Prob. 64STPCh. 6.1 - Prob. 65STPCh. 6.1 - Prob. 66STPCh. 6.1 - Prob. 67STPCh. 6.1 - Prob. 68SRCh. 6.1 - Prob. 69SRCh. 6.1 - Prob. 70SRCh. 6.1 - Prob. 71SRCh. 6.1 - Prob. 72SRCh. 6.1 - Prob. 73SRCh. 6.1 - Prob. 74SRCh. 6.1 - Prob. 75SRCh. 6.1 - Prob. 76SRCh. 6.1 - Prob. 77SRCh. 6.1 - Prob. 78SRCh. 6.1 - Prob. 79SRCh. 6.1 - Prob. 80SRCh. 6.1 - Prob. 81SCh. 6.1 - Prob. 82SCh. 6.1 - Prob. 83SCh. 6.1 - Prob. 84SCh. 6.1 - Prob. 85SCh. 6.1 - Prob. 86SCh. 6.2 - Prob. 1GPCh. 6.2 - Prob. 2AGPCh. 6.2 - Prob. 2BGPCh. 6.2 - Prob. 3AGPCh. 6.2 - Prob. 3BGPCh. 6.2 - Prob. 1CYUCh. 6.2 - Prob. 2CYUCh. 6.2 - Prob. 3CYUCh. 6.2 - Prob. 4CYUCh. 6.2 - Prob. 5CYUCh. 6.2 - Prob. 6CYUCh. 6.2 - Prob. 7CYUCh. 6.2 - Prob. 8CYUCh. 6.2 - Prob. 9PPSCh. 6.2 - Prob. 10PPSCh. 6.2 - Prob. 11PPSCh. 6.2 - Prob. 12PPSCh. 6.2 - Prob. 13PPSCh. 6.2 - Prob. 14PPSCh. 6.2 - Prob. 15PPSCh. 6.2 - Prob. 16PPSCh. 6.2 - Prob. 17PPSCh. 6.2 - Prob. 18PPSCh. 6.2 - Prob. 19PPSCh. 6.2 - Prob. 20PPSCh. 6.2 - Prob. 21PPSCh. 6.2 - Prob. 22PPSCh. 6.2 - Prob. 23PPSCh. 6.2 - Prob. 24PPSCh. 6.2 - Prob. 25PPSCh. 6.2 - Prob. 26PPSCh. 6.2 - Prob. 27PPSCh. 6.2 - Prob. 28PPSCh. 6.2 - Prob. 29PPSCh. 6.2 - Prob. 30PPSCh. 6.2 - Prob. 31PPSCh. 6.2 - Prob. 32PPSCh. 6.2 - Prob. 33PPSCh. 6.2 - Prob. 34PPSCh. 6.2 - Prob. 35PPSCh. 6.2 - Prob. 36PPSCh. 6.2 - Prob. 37PPSCh. 6.2 - Prob. 38PPSCh. 6.2 - Prob. 39PPSCh. 6.2 - Prob. 40PPSCh. 6.2 - Prob. 41PPSCh. 6.2 - Prob. 42PPSCh. 6.2 - Prob. 43PPSCh. 6.2 - Prob. 44PPSCh. 6.2 - Prob. 45PPSCh. 6.2 - Prob. 46PPSCh. 6.2 - Prob. 47PPSCh. 6.2 - Prob. 48PPSCh. 6.2 - Prob. 49PPSCh. 6.2 - Prob. 50PPSCh. 6.2 - Prob. 51PPSCh. 6.2 - Prob. 52HPCh. 6.2 - Prob. 53HPCh. 6.2 - Prob. 54HPCh. 6.2 - Prob. 55HPCh. 6.2 - Prob. 56HPCh. 6.2 - Prob. 57STPCh. 6.2 - Prob. 58STPCh. 6.2 - Prob. 59STPCh. 6.2 - Prob. 60STPCh. 6.2 - Prob. 61SRCh. 6.2 - Prob. 62SRCh. 6.2 - Prob. 63SRCh. 6.2 - Prob. 64SRCh. 6.2 - Prob. 65SRCh. 6.2 - Prob. 66SRCh. 6.2 - Prob. 67SRCh. 6.2 - Prob. 68SRCh. 6.2 - Prob. 69SRCh. 6.2 - Prob. 70SRCh. 6.2 - Prob. 71SRCh. 6.2 - Prob. 72SRCh. 6.2 - Prob. 73SRCh. 6.2 - Prob. 74SCh. 6.2 - Prob. 75SCh. 6.2 - Prob. 76SCh. 6.2 - Prob. 1ECh. 6.2 - Prob. 2ECh. 6.2 - Prob. 3ECh. 6.2 - Prob. 4ECh. 6.2 - Prob. 5ECh. 6.2 - Prob. 6ECh. 6.2 - Prob. 7ECh. 6.2 - Prob. 8ECh. 6.3 - Prob. 1AGPCh. 6.3 - Prob. 1BGPCh. 6.3 - Prob. 2AGPCh. 6.3 - Prob. 2BGPCh. 6.3 - Prob. 3GPCh. 6.3 - Prob. 4AGPCh. 6.3 - Prob. 4BGPCh. 6.3 - Prob. 1CYUCh. 6.3 - Prob. 2CYUCh. 6.3 - Prob. 3CYUCh. 6.3 - Prob. 4CYUCh. 6.3 - Prob. 5CYUCh. 6.3 - Prob. 6CYUCh. 6.3 - Prob. 7CYUCh. 6.3 - Prob. 8CYUCh. 6.3 - Prob. 9CYUCh. 6.3 - Prob. 10CYUCh. 6.3 - Prob. 11CYUCh. 6.3 - Prob. 12CYUCh. 6.3 - Prob. 13PPSCh. 6.3 - Prob. 14PPSCh. 6.3 - Prob. 15PPSCh. 6.3 - Prob. 16PPSCh. 6.3 - Prob. 17PPSCh. 6.3 - Prob. 18PPSCh. 6.3 - Prob. 19PPSCh. 6.3 - Prob. 20PPSCh. 6.3 - Prob. 21PPSCh. 6.3 - Prob. 22PPSCh. 6.3 - Prob. 23PPSCh. 6.3 - Prob. 24PPSCh. 6.3 - Prob. 25PPSCh. 6.3 - Prob. 26PPSCh. 6.3 - Prob. 27PPSCh. 6.3 - Prob. 28PPSCh. 6.3 - Prob. 29PPSCh. 6.3 - Prob. 30PPSCh. 6.3 - Prob. 31PPSCh. 6.3 - Prob. 32PPSCh. 6.3 - Prob. 33PPSCh. 6.3 - Prob. 34PPSCh. 6.3 - Prob. 35PPSCh. 6.3 - Prob. 36PPSCh. 6.3 - Prob. 37PPSCh. 6.3 - Prob. 38PPSCh. 6.3 - Prob. 39PPSCh. 6.3 - Prob. 40PPSCh. 6.3 - Prob. 41PPSCh. 6.3 - Prob. 42PPSCh. 6.3 - Prob. 43PPSCh. 6.3 - Prob. 44PPSCh. 6.3 - Prob. 45PPSCh. 6.3 - Prob. 46PPSCh. 6.3 - Prob. 47HPCh. 6.3 - Prob. 48HPCh. 6.3 - Prob. 49HPCh. 6.3 - Prob. 50HPCh. 6.3 - Prob. 51HPCh. 6.3 - Prob. 52HPCh. 6.3 - Prob. 53HPCh. 6.3 - Prob. 54STPCh. 6.3 - Prob. 55STPCh. 6.3 - Prob. 56STPCh. 6.3 - Prob. 57STPCh. 6.3 - Prob. 58SRCh. 6.3 - Prob. 59SRCh. 6.3 - Prob. 60SRCh. 6.3 - Prob. 61SRCh. 6.3 - Prob. 62SRCh. 6.3 - Prob. 63SCh. 6.3 - Prob. 64SCh. 6.3 - Prob. 65SCh. 6.3 - Prob. 66SCh. 6.4 - Prob. 1AGPCh. 6.4 - Prob. 1BGPCh. 6.4 - Prob. 2AGPCh. 6.4 - Prob. 2BGPCh. 6.4 - Prob. 3AGPCh. 6.4 - Prob. 3BGPCh. 6.4 - Prob. 1CYUCh. 6.4 - Prob. 2CYUCh. 6.4 - Prob. 3CYUCh. 6.4 - Prob. 4CYUCh. 6.4 - Prob. 5CYUCh. 6.4 - Prob. 6CYUCh. 6.4 - Prob. 7CYUCh. 6.4 - Prob. 8CYUCh. 6.4 - Prob. 9CYUCh. 6.4 - Prob. 10CYUCh. 6.4 - Prob. 11CYUCh. 6.4 - Prob. 12PPSCh. 6.4 - Prob. 13PPSCh. 6.4 - Prob. 14PPSCh. 6.4 - Prob. 15PPSCh. 6.4 - Prob. 16PPSCh. 6.4 - Prob. 17PPSCh. 6.4 - Prob. 18PPSCh. 6.4 - Prob. 19PPSCh. 6.4 - Prob. 20PPSCh. 6.4 - Prob. 21PPSCh. 6.4 - Prob. 22PPSCh. 6.4 - Prob. 23PPSCh. 6.4 - Prob. 24PPSCh. 6.4 - Prob. 25PPSCh. 6.4 - Prob. 26PPSCh. 6.4 - Prob. 27PPSCh. 6.4 - Prob. 28PPSCh. 6.4 - Prob. 29PPSCh. 6.4 - Prob. 30PPSCh. 6.4 - Prob. 31PPSCh. 6.4 - Prob. 32PPSCh. 6.4 - Prob. 33PPSCh. 6.4 - Prob. 34PPSCh. 6.4 - Prob. 35PPSCh. 6.4 - Prob. 36PPSCh. 6.4 - Prob. 37PPSCh. 6.4 - Prob. 38PPSCh. 6.4 - Prob. 39PPSCh. 6.4 - Prob. 40PPSCh. 6.4 - Prob. 41PPSCh. 6.4 - Prob. 42PPSCh. 6.4 - Prob. 43PPSCh. 6.4 - Prob. 44PPSCh. 6.4 - Prob. 45PPSCh. 6.4 - Prob. 46PPSCh. 6.4 - Prob. 47PPSCh. 6.4 - Prob. 48PPSCh. 6.4 - Prob. 49PPSCh. 6.4 - Prob. 50PPSCh. 6.4 - Prob. 51PPSCh. 6.4 - Prob. 52PPSCh. 6.4 - Prob. 53PPSCh. 6.4 - Prob. 54PPSCh. 6.4 - Prob. 55PPSCh. 6.4 - Prob. 56PPSCh. 6.4 - Prob. 57PPSCh. 6.4 - Prob. 58PPSCh. 6.4 - Prob. 59HPCh. 6.4 - Prob. 60HPCh. 6.4 - Prob. 61HPCh. 6.4 - Prob. 62HPCh. 6.4 - Prob. 63HPCh. 6.4 - Prob. 64HPCh. 6.4 - Prob. 65HPCh. 6.4 - Prob. 66HPCh. 6.4 - Prob. 67HPCh. 6.4 - Prob. 68HPCh. 6.4 - Prob. 69HPCh. 6.4 - Prob. 70STPCh. 6.4 - Prob. 71STPCh. 6.4 - Prob. 72STPCh. 6.4 - Prob. 73STPCh. 6.4 - Prob. 74SRCh. 6.4 - Prob. 75SRCh. 6.4 - Prob. 76SRCh. 6.4 - Prob. 77SRCh. 6.4 - Prob. 78SRCh. 6.4 - Prob. 79SRCh. 6.4 - Prob. 80SRCh. 6.4 - Prob. 81SRCh. 6.4 - Prob. 82SRCh. 6.4 - Prob. 83SRCh. 6.4 - Prob. 84SRCh. 6.4 - Prob. 85SRCh. 6.4 - Prob. 86SRCh. 6.4 - Prob. 87SCh. 6.4 - Prob. 88SCh. 6.4 - Prob. 89SCh. 6.4 - Prob. 90SCh. 6.4 - Prob. 91SCh. 6.4 - Prob. 92SCh. 6.4 - Prob. 1ECh. 6.4 - Prob. 2ECh. 6.4 - Prob. 3ECh. 6.4 - Prob. 4ECh. 6.4 - Prob. 5ECh. 6.4 - Prob. 6ECh. 6.4 - Prob. 7ECh. 6.4 - Prob. 8ECh. 6.4 - Prob. 1MCQCh. 6.4 - Prob. 2MCQCh. 6.4 - Prob. 3MCQCh. 6.4 - Prob. 4MCQCh. 6.4 - Prob. 5MCQCh. 6.4 - Prob. 6MCQCh. 6.4 - Prob. 7MCQCh. 6.4 - Prob. 8MCQCh. 6.4 - Prob. 9MCQCh. 6.4 - Prob. 10MCQCh. 6.4 - Prob. 11MCQCh. 6.4 - Prob. 12MCQCh. 6.4 - Prob. 13MCQCh. 6.4 - Prob. 14MCQCh. 6.4 - Prob. 15MCQCh. 6.4 - Prob. 16MCQCh. 6.4 - Prob. 17MCQCh. 6.4 - Prob. 18MCQCh. 6.4 - Prob. 19MCQCh. 6.4 - Prob. 20MCQCh. 6.4 - Prob. 21MCQCh. 6.4 - Prob. 22MCQCh. 6.4 - Prob. 23MCQCh. 6.4 - Prob. 24MCQCh. 6.4 - Prob. 25MCQCh. 6.4 - Prob. 26MCQCh. 6.4 - Prob. 27MCQCh. 6.4 - Prob. 28MCQCh. 6.4 - Prob. 29MCQCh. 6.4 - Prob. 30MCQCh. 6.4 - Prob. 31MCQCh. 6.5 - Prob. 1AGPCh. 6.5 - Prob. 1BGPCh. 6.5 - Prob. 2AGPCh. 6.5 - Prob. 2BGPCh. 6.5 - Prob. 3AGPCh. 6.5 - Prob. 3BGPCh. 6.5 - Prob. 4AGPCh. 6.5 - Prob. 4BGPCh. 6.5 - Prob. 5AGPCh. 6.5 - Prob. 5BGPCh. 6.5 - Prob. 6GPCh. 6.5 - Prob. 1CYUCh. 6.5 - Prob. 2CYUCh. 6.5 - Prob. 3CYUCh. 6.5 - Prob. 4CYUCh. 6.5 - Prob. 5CYUCh. 6.5 - Prob. 6CYUCh. 6.5 - Prob. 7CYUCh. 6.5 - Prob. 8CYUCh. 6.5 - Prob. 9CYUCh. 6.5 - Prob. 10CYUCh. 6.5 - Prob. 11CYUCh. 6.5 - Prob. 12CYUCh. 6.5 - Prob. 13CYUCh. 6.5 - Prob. 14CYUCh. 6.5 - Prob. 15CYUCh. 6.5 - Prob. 16CYUCh. 6.5 - Prob. 17CYUCh. 6.5 - Prob. 18PPSCh. 6.5 - Prob. 19PPSCh. 6.5 - Prob. 20PPSCh. 6.5 - Prob. 21PPSCh. 6.5 - Prob. 22PPSCh. 6.5 - Prob. 23PPSCh. 6.5 - Prob. 24PPSCh. 6.5 - Prob. 25PPSCh. 6.5 - Prob. 26PPSCh. 6.5 - Prob. 27PPSCh. 6.5 - Prob. 28PPSCh. 6.5 - Prob. 29PPSCh. 6.5 - Prob. 30PPSCh. 6.5 - Prob. 31PPSCh. 6.5 - Prob. 32PPSCh. 6.5 - Prob. 33PPSCh. 6.5 - Prob. 34PPSCh. 6.5 - Prob. 35PPSCh. 6.5 - Prob. 36PPSCh. 6.5 - Prob. 37PPSCh. 6.5 - Prob. 38PPSCh. 6.5 - Prob. 39PPSCh. 6.5 - Prob. 40PPSCh. 6.5 - Prob. 41PPSCh. 6.5 - Prob. 42PPSCh. 6.5 - Prob. 43PPSCh. 6.5 - Prob. 44PPSCh. 6.5 - Prob. 45PPSCh. 6.5 - Prob. 46PPSCh. 6.5 - Prob. 47PPSCh. 6.5 - Prob. 48PPSCh. 6.5 - Prob. 49PPSCh. 6.5 - Prob. 50PPSCh. 6.5 - Prob. 51PPSCh. 6.5 - Prob. 52PPSCh. 6.5 - Prob. 53PPSCh. 6.5 - Prob. 54PPSCh. 6.5 - Prob. 55PPSCh. 6.5 - Prob. 56PPSCh. 6.5 - Prob. 57PPSCh. 6.5 - Prob. 58PPSCh. 6.5 - Prob. 59PPSCh. 6.5 - Prob. 60HPCh. 6.5 - Prob. 61HPCh. 6.5 - Prob. 62HPCh. 6.5 - Prob. 63HPCh. 6.5 - Prob. 64HPCh. 6.5 - Prob. 65HPCh. 6.5 - Prob. 66STPCh. 6.5 - Prob. 67STPCh. 6.5 - Prob. 68STPCh. 6.5 - Prob. 69STPCh. 6.5 - Prob. 70SRCh. 6.5 - Prob. 71SRCh. 6.5 - Prob. 72SRCh. 6.5 - Prob. 73SRCh. 6.5 - Prob. 74SRCh. 6.5 - Prob. 75SRCh. 6.5 - Prob. 76SRCh. 6.5 - Prob. 77SRCh. 6.5 - Prob. 78SRCh. 6.5 - Prob. 79SRCh. 6.5 - Prob. 80SRCh. 6.5 - Prob. 81SRCh. 6.5 - Prob. 82SRCh. 6.5 - Prob. 83SCh. 6.5 - Prob. 84SCh. 6.5 - Prob. 85SCh. 6.5 - Prob. 86SCh. 6.5 - Prob. 87SCh. 6.5 - Prob. 88SCh. 6.6 - Prob. 1AGPCh. 6.6 - Prob. 1BGPCh. 6.6 - Prob. 1CGPCh. 6.6 - Prob. 1DGPCh. 6.6 - Prob. 2AGPCh. 6.6 - Prob. 2BGPCh. 6.6 - Prob. 3GPCh. 6.6 - Prob. 4AGPCh. 6.6 - Prob. 4BGPCh. 6.6 - Prob. 5AGPCh. 6.6 - Prob. 5BGPCh. 6.6 - Prob. 5CGPCh. 6.6 - Prob. 1CYUCh. 6.6 - Prob. 2CYUCh. 6.6 - Prob. 3CYUCh. 6.6 - Prob. 4CYUCh. 6.6 - Prob. 5CYUCh. 6.6 - Prob. 6CYUCh. 6.6 - Prob. 7CYUCh. 6.6 - Prob. 8CYUCh. 6.6 - Prob. 9CYUCh. 6.6 - Prob. 10CYUCh. 6.6 - Prob. 11CYUCh. 6.6 - Prob. 12CYUCh. 6.6 - Prob. 13CYUCh. 6.6 - Prob. 14CYUCh. 6.6 - Prob. 15CYUCh. 6.6 - Prob. 16PPSCh. 6.6 - Prob. 17PPSCh. 6.6 - Prob. 18PPSCh. 6.6 - Prob. 19PPSCh. 6.6 - Prob. 20PPSCh. 6.6 - Prob. 21PPSCh. 6.6 - Prob. 22PPSCh. 6.6 - Prob. 23PPSCh. 6.6 - Prob. 24PPSCh. 6.6 - Prob. 25PPSCh. 6.6 - Prob. 26PPSCh. 6.6 - Prob. 27PPSCh. 6.6 - Prob. 28PPSCh. 6.6 - Prob. 29PPSCh. 6.6 - Prob. 30PPSCh. 6.6 - Prob. 31PPSCh. 6.6 - Prob. 32PPSCh. 6.6 - Prob. 33PPSCh. 6.6 - Prob. 34PPSCh. 6.6 - Prob. 35PPSCh. 6.6 - Prob. 36PPSCh. 6.6 - Prob. 37PPSCh. 6.6 - Prob. 38PPSCh. 6.6 - Prob. 39PPSCh. 6.6 - Prob. 40PPSCh. 6.6 - Prob. 41PPSCh. 6.6 - Prob. 42PPSCh. 6.6 - Prob. 43PPSCh. 6.6 - Prob. 44PPSCh. 6.6 - Prob. 45PPSCh. 6.6 - Prob. 46PPSCh. 6.6 - Prob. 47PPSCh. 6.6 - Prob. 48PPSCh. 6.6 - Prob. 49PPSCh. 6.6 - Prob. 50PPSCh. 6.6 - Prob. 51PPSCh. 6.6 - Prob. 52PPSCh. 6.6 - Prob. 53PPSCh. 6.6 - Prob. 54PPSCh. 6.6 - Prob. 55PPSCh. 6.6 - Prob. 56PPSCh. 6.6 - Prob. 57PPSCh. 6.6 - Prob. 58PPSCh. 6.6 - Prob. 59PPSCh. 6.6 - Prob. 60PPSCh. 6.6 - Prob. 61PPSCh. 6.6 - Prob. 62PPSCh. 6.6 - Prob. 63PPSCh. 6.6 - Prob. 64PPSCh. 6.6 - Prob. 65PPSCh. 6.6 - Prob. 66HPCh. 6.6 - Prob. 67HPCh. 6.6 - Prob. 68HPCh. 6.6 - Prob. 69HPCh. 6.6 - Prob. 70HPCh. 6.6 - Prob. 71STPCh. 6.6 - Prob. 72STPCh. 6.6 - Prob. 73STPCh. 6.6 - Prob. 74STPCh. 6.6 - Prob. 75SRCh. 6.6 - Prob. 76SRCh. 6.6 - Prob. 77SRCh. 6.6 - Prob. 78SRCh. 6.6 - Prob. 79SRCh. 6.6 - Prob. 80SRCh. 6.6 - Prob. 81SRCh. 6.6 - Prob. 82SRCh. 6.6 - Prob. 83SRCh. 6.6 - Prob. 84SRCh. 6.6 - Prob. 85SRCh. 6.6 - Prob. 86SRCh. 6.6 - Prob. 87SRCh. 6.6 - Prob. 88SRCh. 6.6 - Prob. 89SRCh. 6.6 - Prob. 90SRCh. 6.6 - Prob. 91SRCh. 6.6 - Prob. 92SCh. 6.6 - Prob. 93SCh. 6.6 - Prob. 94SCh. 6.6 - Prob. 95SCh. 6.6 - Prob. 96SCh. 6.6 - Prob. 97SCh. 6.7 - Prob. 1AGPCh. 6.7 - Prob. 1BGPCh. 6.7 - Prob. 2AGPCh. 6.7 - Prob. 2BGPCh. 6.7 - Prob. 3GPCh. 6.7 - Prob. 4AGPCh. 6.7 - Prob. 4BGPCh. 6.7 - Prob. 1CYUCh. 6.7 - Prob. 2CYUCh. 6.7 - Prob. 3CYUCh. 6.7 - Prob. 4CYUCh. 6.7 - Prob. 5CYUCh. 6.7 - Prob. 6CYUCh. 6.7 - Prob. 7CYUCh. 6.7 - Prob. 8CYUCh. 6.7 - Prob. 9CYUCh. 6.7 - Prob. 10CYUCh. 6.7 - Prob. 11CYUCh. 6.7 - Prob. 12CYUCh. 6.7 - Prob. 13CYUCh. 6.7 - Prob. 14CYUCh. 6.7 - Prob. 15CYUCh. 6.7 - Prob. 16CYUCh. 6.7 - Prob. 17CYUCh. 6.7 - Prob. 18CYUCh. 6.7 - Prob. 19CYUCh. 6.7 - Prob. 20CYUCh. 6.7 - Prob. 21CYUCh. 6.7 - Prob. 22CYUCh. 6.7 - Prob. 23PPSCh. 6.7 - Prob. 24PPSCh. 6.7 - Prob. 25PPSCh. 6.7 - Prob. 26PPSCh. 6.7 - Prob. 27PPSCh. 6.7 - Prob. 28PPSCh. 6.7 - Prob. 29PPSCh. 6.7 - Prob. 30PPSCh. 6.7 - Prob. 31PPSCh. 6.7 - Prob. 32PPSCh. 6.7 - Prob. 33PPSCh. 6.7 - Prob. 34PPSCh. 6.7 - Prob. 35PPSCh. 6.7 - Prob. 36PPSCh. 6.7 - Prob. 37PPSCh. 6.7 - Prob. 38PPSCh. 6.7 - Prob. 39PPSCh. 6.7 - Prob. 40PPSCh. 6.7 - Prob. 41PPSCh. 6.7 - Prob. 42PPSCh. 6.7 - Prob. 43PPSCh. 6.7 - Prob. 44PPSCh. 6.7 - Prob. 45PPSCh. 6.7 - Prob. 46PPSCh. 6.7 - Prob. 47PPSCh. 6.7 - Prob. 48PPSCh. 6.7 - Prob. 49PPSCh. 6.7 - Prob. 50PPSCh. 6.7 - Prob. 51PPSCh. 6.7 - Prob. 52PPSCh. 6.7 - Prob. 53PPSCh. 6.7 - Prob. 54PPSCh. 6.7 - Prob. 55PPSCh. 6.7 - Prob. 56PPSCh. 6.7 - Prob. 57PPSCh. 6.7 - Prob. 58PPSCh. 6.7 - Prob. 59PPSCh. 6.7 - Prob. 60PPSCh. 6.7 - Prob. 61PPSCh. 6.7 - Prob. 62PPSCh. 6.7 - Prob. 63PPSCh. 6.7 - Prob. 64PPSCh. 6.7 - Prob. 65PPSCh. 6.7 - Prob. 66PPSCh. 6.7 - Prob. 67HPCh. 6.7 - Prob. 68HPCh. 6.7 - Prob. 69HPCh. 6.7 - Prob. 70HPCh. 6.7 - Prob. 71HPCh. 6.7 - Prob. 72HPCh. 6.7 - Prob. 73HPCh. 6.7 - Prob. 74HPCh. 6.7 - Prob. 75HPCh. 6.7 - Prob. 76STPCh. 6.7 - Prob. 77STPCh. 6.7 - Prob. 78STPCh. 6.7 - Prob. 79STPCh. 6.7 - Prob. 80SRCh. 6.7 - Prob. 81SRCh. 6.7 - Prob. 82SRCh. 6.7 - Prob. 83SRCh. 6.7 - Prob. 84SRCh. 6.7 - Prob. 85SRCh. 6.7 - Prob. 86SRCh. 6.7 - Prob. 87SRCh. 6.7 - Prob. 88SRCh. 6.7 - Prob. 89SRCh. 6.7 - Prob. 90SRCh. 6.7 - Prob. 91SCh. 6.7 - Prob. 92SCh. 6.7 - Prob. 93SCh. 6.7 - Prob. 94SCh. 6.7 - Prob. 95SCh. 6.7 - Prob. 96SCh. 6.7 - Prob. 97SCh. 6.7 - Prob. 98SCh. 6.7 - Prob. 1ECh. 6.7 - Prob. 2ECh. 6.7 - Prob. 3ECh. 6.7 - Prob. 4ECh. 6.7 - Prob. 5ECh. 6.7 - Prob. 6ECh. 6.7 - Prob. 7ECh. 6.7 - Prob. 8ECh. 6.7 - Prob. 9ECh. 6.7 - Prob. 10ECh. 6 - Prob. 1QCCh. 6 - Prob. 2QCCh. 6 - Prob. 3QCCh. 6 - Prob. 4QCCh. 6 - Prob. 5QCCh. 6 - Prob. 6QCCh. 6 - Prob. 7QCCh. 6 - Prob. 8QCCh. 6 - Prob. 1SGRCh. 6 - Prob. 2SGRCh. 6 - Prob. 3SGRCh. 6 - Prob. 4SGRCh. 6 - Prob. 5SGRCh. 6 - Prob. 6SGRCh. 6 - Prob. 7SGRCh. 6 - Prob. 8SGRCh. 6 - Prob. 9SGRCh. 6 - Prob. 10SGRCh. 6 - Prob. 11SGRCh. 6 - Prob. 12SGRCh. 6 - Prob. 13SGRCh. 6 - Prob. 14SGRCh. 6 - Prob. 15SGRCh. 6 - Prob. 16SGRCh. 6 - Prob. 17SGRCh. 6 - Prob. 18SGRCh. 6 - Prob. 19SGRCh. 6 - Prob. 20SGRCh. 6 - Prob. 21SGRCh. 6 - Prob. 22SGRCh. 6 - Prob. 23SGRCh. 6 - Prob. 24SGRCh. 6 - Prob. 25SGRCh. 6 - Prob. 26SGRCh. 6 - Prob. 27SGRCh. 6 - Prob. 28SGRCh. 6 - Prob. 29SGRCh. 6 - Prob. 30SGRCh. 6 - Prob. 31SGRCh. 6 - Prob. 32SGRCh. 6 - Prob. 33SGRCh. 6 - Prob. 34SGRCh. 6 - Prob. 35SGRCh. 6 - Prob. 36SGRCh. 6 - Prob. 37SGRCh. 6 - Prob. 38SGRCh. 6 - Prob. 39SGRCh. 6 - Prob. 40SGRCh. 6 - Prob. 41SGRCh. 6 - Prob. 42SGRCh. 6 - Prob. 43SGRCh. 6 - Prob. 44SGRCh. 6 - Prob. 45SGRCh. 6 - Prob. 46SGRCh. 6 - Prob. 47SGRCh. 6 - Prob. 48SGRCh. 6 - Prob. 49SGRCh. 6 - Prob. 50SGRCh. 6 - Prob. 51SGRCh. 6 - Prob. 52SGRCh. 6 - Prob. 53SGRCh. 6 - Prob. 54SGRCh. 6 - Prob. 55SGRCh. 6 - Prob. 56SGRCh. 6 - Prob. 57SGRCh. 6 - Prob. 58SGRCh. 6 - Prob. 59SGRCh. 6 - Prob. 60SGRCh. 6 - Prob. 61SGRCh. 6 - Prob. 62SGRCh. 6 - Prob. 63SGRCh. 6 - Prob. 64SGRCh. 6 - Prob. 65SGRCh. 6 - Prob. 66SGRCh. 6 - Prob. 67SGRCh. 6 - Prob. 68SGRCh. 6 - Prob. 69SGRCh. 6 - Prob. 70SGRCh. 6 - Prob. 71SGRCh. 6 - Prob. 72SGRCh. 6 - Prob. 73SGRCh. 6 - Prob. 74SGRCh. 6 - Prob. 75SGRCh. 6 - Prob. 76SGRCh. 6 - Prob. 77SGRCh. 6 - Prob. 78SGRCh. 6 - Prob. 79SGRCh. 6 - Prob. 80SGRCh. 6 - Prob. 81SGRCh. 6 - Prob. 1PTCh. 6 - Prob. 2PTCh. 6 - Prob. 3PTCh. 6 - Prob. 4PTCh. 6 - Prob. 5PTCh. 6 - Prob. 6PTCh. 6 - Prob. 7PTCh. 6 - Prob. 8PTCh. 6 - Prob. 9PTCh. 6 - Prob. 10PTCh. 6 - Prob. 11PTCh. 6 - Prob. 12PTCh. 6 - Prob. 13PTCh. 6 - Prob. 14PTCh. 6 - Prob. 15PTCh. 6 - Prob. 16PTCh. 6 - Prob. 17PTCh. 6 - Prob. 18PTCh. 6 - Prob. 19PTCh. 6 - Prob. 20PTCh. 6 - Prob. 21PTCh. 6 - Prob. 22PTCh. 6 - Prob. 23PTCh. 6 - Prob. 24PTCh. 6 - Prob. 25PTCh. 6 - Prob. 26PTCh. 6 - Prob. 27PTCh. 6 - Prob. 28PTCh. 6 - Prob. 29PTCh. 6 - Prob. 30PTCh. 6 - Prob. 31PTCh. 6 - Prob. 32PTCh. 6 - Prob. 33PTCh. 6 - Prob. 34PTCh. 6 - Prob. 35PTCh. 6 - Prob. 36PTCh. 6 - Prob. 37PTCh. 6 - Prob. 38PTCh. 6 - Prob. 39PTCh. 6 - Prob. 40PTCh. 6 - Prob. 1ECh. 6 - Prob. 2ECh. 6 - Prob. 3ECh. 6 - Prob. 1STPCh. 6 - Prob. 2STPCh. 6 - Prob. 3STPCh. 6 - Prob. 4STPCh. 6 - Prob. 5STPCh. 6 - Prob. 6STPCh. 6 - Prob. 7STPCh. 6 - Prob. 8STPCh. 6 - Prob. 9STPCh. 6 - Prob. 10STPCh. 6 - Prob. 11STPCh. 6 - Prob. 12STPCh. 6 - Prob. 13STPCh. 6 - Prob. 14STPCh. 6 - Prob. 15STP
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