Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00 Edition
ISBN: 9780395977224
Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher: McDougal Littell
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Chapter 11.9, Problem 34WE
To determine

Rationalize: The denominator of given fraction.

Expert Solution & Answer
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Answer to Problem 34WE

Rationalized form of denominator of fraction 62332+3 is 62626233 .

Explanation of Solution

Given information:

The expression 62332+3 .

Formula used:

Rationalizing the denominator is to eliminate the radical terms like square root and cube root from denominator,

To rationalize the denominator, we multiply the conjugate to denominator to both numerator and denominator.

  (a+b)(ab)=a2b2

  62332+3

Recall that to rationalize the denominator, we multiply the conjugate of denominator to both numerator and denominator.

Conjugate of 32+3 is 323 ,

Multiplying 323 to both numerator and denominator.

  =62332+3×323323

Using identity (a+b)(ab)=a2b2 in denominator,

  =(623)(323)(32)232=6(323)23(323)929=632632332233189=1821866639

  =3(6262623)9=62626233

Rationalized form of denominator of fraction 62332+3 is 62626233 .

Chapter 11 Solutions

Algebra: Structure And Method, Book 1

Ch. 11.1 - Prob. 11OECh. 11.1 - Prob. 12OECh. 11.1 - Prob. 13OECh. 11.1 - Prob. 14OECh. 11.1 - Prob. 15OECh. 11.1 - Prob. 16OECh. 11.1 - Prob. 17OECh. 11.1 - Prob. 1WECh. 11.1 - Prob. 2WECh. 11.1 - Prob. 3WECh. 11.1 - Prob. 4WECh. 11.1 - Prob. 5WECh. 11.1 - Prob. 6WECh. 11.1 - Prob. 7WECh. 11.1 - Prob. 8WECh. 11.1 - Prob. 9WECh. 11.1 - Prob. 10WECh. 11.1 - Prob. 11WECh. 11.1 - Prob. 12WECh. 11.1 - Prob. 13WECh. 11.1 - Prob. 14WECh. 11.1 - Prob. 15WECh. 11.1 - Prob. 16WECh. 11.1 - Prob. 17WECh. 11.1 - Prob. 18WECh. 11.1 - Prob. 19WECh. 11.1 - Prob. 20WECh. 11.1 - Prob. 21WECh. 11.1 - Prob. 22WECh. 11.1 - Prob. 23WECh. 11.1 - Prob. 24WECh. 11.1 - Prob. 25WECh. 11.1 - Prob. 26WECh. 11.1 - Prob. 27WECh. 11.1 - Prob. 28WECh. 11.1 - Prob. 29WECh. 11.1 - Prob. 30WECh. 11.1 - Prob. 31WECh. 11.1 - Prob. 32WECh. 11.1 - Prob. 33WECh. 11.1 - Prob. 34WECh. 11.1 - Prob. 35WECh. 11.1 - Prob. 36WECh. 11.1 - Prob. 37WECh. 11.1 - Prob. 38WECh. 11.1 - Prob. 1MRECh. 11.1 - Prob. 2MRECh. 11.1 - Prob. 3MRECh. 11.1 - 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Prob. 4ECh. 11.8 - Prob. 5ECh. 11.8 - Prob. 6ECh. 11.9 - Prob. 1OECh. 11.9 - Prob. 2OECh. 11.9 - Prob. 3OECh. 11.9 - Prob. 4OECh. 11.9 - Prob. 5OECh. 11.9 - Prob. 6OECh. 11.9 - Prob. 7OECh. 11.9 - Prob. 8OECh. 11.9 - Prob. 1WECh. 11.9 - Prob. 2WECh. 11.9 - Prob. 3WECh. 11.9 - Prob. 4WECh. 11.9 - Prob. 5WECh. 11.9 - Prob. 6WECh. 11.9 - Prob. 7WECh. 11.9 - Prob. 8WECh. 11.9 - Prob. 9WECh. 11.9 - Prob. 10WECh. 11.9 - Prob. 11WECh. 11.9 - Prob. 12WECh. 11.9 - Prob. 13WECh. 11.9 - Prob. 14WECh. 11.9 - Prob. 15WECh. 11.9 - Prob. 16WECh. 11.9 - Prob. 17WECh. 11.9 - Prob. 18WECh. 11.9 - Prob. 19WECh. 11.9 - Prob. 20WECh. 11.9 - Prob. 21WECh. 11.9 - Prob. 22WECh. 11.9 - Prob. 23WECh. 11.9 - Prob. 24WECh. 11.9 - Prob. 25WECh. 11.9 - Prob. 26WECh. 11.9 - Prob. 27WECh. 11.9 - Prob. 28WECh. 11.9 - Prob. 29WECh. 11.9 - Prob. 30WECh. 11.9 - Prob. 31WECh. 11.9 - Prob. 32WECh. 11.9 - Prob. 33WECh. 11.9 - Prob. 34WECh. 11.9 - Prob. 35WECh. 11.9 - Prob. 36WECh. 11.9 - Prob. 37WECh. 11.9 - Prob. 38WECh. 11.9 - Prob. 39WECh. 11.9 - Prob. 40WECh. 11.9 - Prob. 41WECh. 11.9 - Prob. 42WECh. 11.9 - Prob. 43WECh. 11.9 - Prob. 44WECh. 11.9 - Prob. 45WECh. 11.9 - Prob. 46WECh. 11.9 - Prob. 47WECh. 11.9 - Prob. 1MRECh. 11.9 - Prob. 2MRECh. 11.9 - Prob. 3MRECh. 11.9 - Prob. 4MRECh. 11.9 - Prob. 5MRECh. 11.9 - Prob. 6MRECh. 11.9 - Prob. 7MRECh. 11.9 - Prob. 8MRECh. 11.9 - Prob. 9MRECh. 11.9 - Prob. 10MRECh. 11.9 - Prob. 11MRECh. 11.9 - Prob. 12MRECh. 11.10 - Prob. 1OECh. 11.10 - Prob. 2OECh. 11.10 - Prob. 3OECh. 11.10 - Prob. 4OECh. 11.10 - Prob. 5OECh. 11.10 - Prob. 6OECh. 11.10 - Prob. 7OECh. 11.10 - Prob. 8OECh. 11.10 - Prob. 9OECh. 11.10 - Prob. 10OECh. 11.10 - Prob. 11OECh. 11.10 - Prob. 12OECh. 11.10 - Prob. 13OECh. 11.10 - Prob. 14OECh. 11.10 - Prob. 15OECh. 11.10 - Prob. 1WECh. 11.10 - Prob. 2WECh. 11.10 - Prob. 3WECh. 11.10 - Prob. 4WECh. 11.10 - Prob. 5WECh. 11.10 - Prob. 6WECh. 11.10 - Prob. 7WECh. 11.10 - Prob. 8WECh. 11.10 - Prob. 9WECh. 11.10 - Prob. 10WECh. 11.10 - Prob. 11WECh. 11.10 - Prob. 12WECh. 11.10 - Prob. 13WECh. 11.10 - Prob. 14WECh. 11.10 - Prob. 15WECh. 11.10 - Prob. 16WECh. 11.10 - Prob. 17WECh. 11.10 - Prob. 18WECh. 11.10 - Prob. 19WECh. 11.10 - Prob. 20WECh. 11.10 - Prob. 21WECh. 11.10 - Prob. 22WECh. 11.10 - Prob. 23WECh. 11.10 - Prob. 24WECh. 11.10 - Prob. 25WECh. 11.10 - Prob. 26WECh. 11.10 - Prob. 27WECh. 11.10 - Prob. 28WECh. 11.10 - Prob. 29WECh. 11.10 - Prob. 30WECh. 11.10 - Prob. 31WECh. 11.10 - Prob. 32WECh. 11.10 - Prob. 33WECh. 11.10 - Prob. 34WECh. 11.10 - Prob. 35WECh. 11.10 - Prob. 36WECh. 11.10 - Prob. 37WECh. 11.10 - Prob. 38WECh. 11.10 - Prob. 39WECh. 11.10 - Prob. 40WECh. 11.10 - Prob. 41WECh. 11.10 - Prob. 42WECh. 11.10 - Prob. 43WECh. 11.10 - Prob. 44WECh. 11.10 - Prob. 45WECh. 11.10 - Prob. 46WECh. 11.10 - Prob. 47WECh. 11.10 - Prob. 48WECh. 11.10 - Prob. 49WECh. 11.10 - Prob. 50WECh. 11.10 - Prob. 1PCh. 11.10 - Prob. 2PCh. 11.10 - Prob. 3PCh. 11.10 - Prob. 4PCh. 11.10 - Prob. 5PCh. 11.10 - Prob. 6PCh. 11.10 - Prob. 7PCh. 11.10 - Prob. 8PCh. 11.10 - Prob. 9PCh. 11.10 - Prob. 10PCh. 11.10 - Prob. 11PCh. 11.10 - Prob. 1MRECh. 11.10 - Prob. 2MRECh. 11.10 - Prob. 3MRECh. 11.10 - Prob. 4MRECh. 11.10 - Prob. 5MRECh. 11.10 - Prob. 6MRECh. 11.10 - Prob. 7MRECh. 11.10 - Prob. 8MRECh. 11.10 - Prob. 9MRECh. 11.10 - Prob. 10MRECh. 11.10 - Prob. 11MRECh. 11.10 - Prob. 12MRECh. 11.10 - Prob. 1STCh. 11.10 - Prob. 2STCh. 11.10 - Prob. 3STCh. 11.10 - Prob. 4STCh. 11.10 - Prob. 5STCh. 11.10 - Prob. 6STCh. 11.10 - Prob. 7STCh. 11.10 - Prob. 8STCh. 11.10 - Prob. 9STCh. 11.10 - Prob. 10STCh. 11.10 - Prob. 1ECh. 11.10 - Prob. 2ECh. 11.10 - Prob. 3ECh. 11.10 - Prob. 4ECh. 11.10 - Prob. 5ECh. 11.10 - Prob. 6ECh. 11.10 - Prob. 7ECh. 11.10 - Prob. 8ECh. 11.10 - Prob. 9ECh. 11.10 - Prob. 10ECh. 11.10 - Prob. 11ECh. 11.10 - Prob. 12ECh. 11.10 - Prob. 13ECh. 11.10 - Prob. 14ECh. 11.10 - Prob. 15ECh. 11.10 - Prob. 16ECh. 11.10 - Prob. 17ECh. 11.10 - Prob. 18ECh. 11.10 - Prob. 19ECh. 11.10 - Prob. 20ECh. 11.10 - Prob. 21ECh. 11.10 - Prob. 22ECh. 11.10 - Prob. 23ECh. 11.10 - Prob. 24ECh. 11.10 - Prob. 25ECh. 11.10 - Prob. 26ECh. 11.10 - Prob. 27ECh. 11.10 - Prob. 28ECh. 11.10 - Prob. 29ECh. 11.10 - Prob. 30ECh. 11.10 - Prob. 31ECh. 11.10 - Prob. 32ECh. 11.10 - Prob. 33ECh. 11.10 - Prob. 34ECh. 11.10 - Prob. 35ECh. 11.10 - Prob. 36ECh. 11.10 - Prob. 37ECh. 11.10 - Prob. 38ECh. 11.10 - Prob. 39ECh. 11.10 - Prob. 40ECh. 11 - Prob. 1CRCh. 11 - Prob. 2CRCh. 11 - Prob. 3CRCh. 11 - Prob. 4CRCh. 11 - Prob. 5CRCh. 11 - Prob. 6CRCh. 11 - Prob. 7CRCh. 11 - Prob. 8CRCh. 11 - Prob. 9CRCh. 11 - Prob. 10CRCh. 11 - Prob. 11CRCh. 11 - Prob. 12CRCh. 11 - Prob. 13CRCh. 11 - Prob. 14CRCh. 11 - Prob. 15CRCh. 11 - Prob. 16CRCh. 11 - Prob. 17CRCh. 11 - Prob. 1CTCh. 11 - Prob. 2CTCh. 11 - Prob. 3CTCh. 11 - Prob. 4CTCh. 11 - Prob. 5CTCh. 11 - Prob. 6CTCh. 11 - Prob. 7CTCh. 11 - Prob. 8CTCh. 11 - Prob. 9CTCh. 11 - Prob. 10CTCh. 11 - Prob. 11CTCh. 11 - Prob. 12CTCh. 11 - Prob. 13CTCh. 11 - Prob. 14CTCh. 11 - Prob. 15CTCh. 11 - Prob. 16CTCh. 11 - Prob. 17CTCh. 11 - Prob. 18CTCh. 11 - Prob. 19CTCh. 11 - Prob. 20CTCh. 11 - Prob. 21CTCh. 11 - Prob. 1CLRCh. 11 - Prob. 2CLRCh. 11 - Prob. 3CLRCh. 11 - Prob. 4CLRCh. 11 - Prob. 5CLRCh. 11 - Prob. 6CLRCh. 11 - Prob. 7CLRCh. 11 - Prob. 8CLRCh. 11 - Prob. 9CLRCh. 11 - Prob. 10CLRCh. 11 - Prob. 11CLRCh. 11 - Prob. 12CLRCh. 11 - Prob. 13CLRCh. 11 - Prob. 14CLRCh. 11 - Prob. 15CLRCh. 11 - Prob. 16CLRCh. 11 - Prob. 17CLRCh. 11 - Prob. 18CLRCh. 11 - Prob. 19CLRCh. 11 - Prob. 20CLRCh. 11 - Prob. 21CLRCh. 11 - Prob. 22CLRCh. 11 - Prob. 23CLRCh. 11 - Prob. 24CLRCh. 11 - Prob. 25CLRCh. 11 - Prob. 26CLRCh. 11 - Prob. 27CLRCh. 11 - Prob. 28CLRCh. 11 - Prob. 29CLRCh. 11 - Prob. 30CLRCh. 11 - Prob. 31CLRCh. 11 - Prob. 32CLRCh. 11 - Prob. 33CLRCh. 11 - Prob. 34CLRCh. 11 - Prob. 35CLRCh. 11 - Prob. 36CLRCh. 11 - Prob. 37CLRCh. 11 - Prob. 38CLRCh. 11 - Prob. 39CLRCh. 11 - Prob. 40CLRCh. 11 - Prob. 41CLRCh. 11 - Prob. 42CLRCh. 11 - Prob. 1MSCh. 11 - Prob. 2MSCh. 11 - Prob. 3MSCh. 11 - Prob. 4MSCh. 11 - Prob. 5MSCh. 11 - Prob. 6MSCh. 11 - Prob. 7MSCh. 11 - Prob. 8MSCh. 11 - Prob. 9MSCh. 11 - Prob. 10MSCh. 11 - Prob. 11MSCh. 11 - Prob. 12MSCh. 11 - Prob. 13MSCh. 11 - Prob. 14MSCh. 11 - Prob. 15MSCh. 11 - Prob. 16MSCh. 11 - Prob. 17MSCh. 11 - Prob. 18MSCh. 11 - Prob. 19MSCh. 11 - Prob. 20MSCh. 11 - Prob. 21MSCh. 11 - Prob. 1MPSCh. 11 - Prob. 2MPSCh. 11 - Prob. 3MPSCh. 11 - Prob. 4MPSCh. 11 - Prob. 5MPSCh. 11 - Prob. 6MPSCh. 11 - Prob. 7MPSCh. 11 - Prob. 8MPSCh. 11 - Prob. 9MPSCh. 11 - Prob. 10MPSCh. 11 - Prob. 11MPSCh. 11 - Prob. 12MPSCh. 11 - Prob. 13MPS
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