Please explain easy language A 4G10:54 PM O OSince a and b are integers, we get 560%ais rational, and so /3 is rationb.BL this conNCERT-Books-!5 IrateThis contradiction has arisen because of our incorrect assumption thatrational.So, we conclude that 5 – V3 is irrational.Example 11 : Show that 3/2 is irrational.Solution : Let us assume, to the contrary, that 3/2 is rational.That is, we can find coprime a and b (b# 0) such that 3/2 =".aRearranging, we get /23hais rational, and so3bSince 3, a and b are integers,V2 is rational.But this contradicts the fact that 2 is irrational.So, we conclude that 3,5 is irrational.EXERCISE 1.31. Prove that 5 is irrational.2. Prove that 3+ 2/5 is irrational.3. Prove that the following are irrationals :1(i)(i) 7/5(iї) 6+ /22018-19REAL NUMBERS1.5 Revisitin Rational Numrs and Their Dcimal ExpansionIn Class IX, you studied that rational numbers have either a terminat...

To prove: 32 is irrational Suppose on the contrary, 32 is a rational number. Then by definition of…

Example 11 : Show that 32 is irrational. Solution : Let us assume, to the contrary, that 3-/2 is rational. That is, we can find coprime a and b (b+ 0) such that 3/2 = b а Rearranging, we get /2 = - 3h а Since 3, a and b are integers, is rational, and so 5 is rational. 3b But this contradicts the fact that 2 is irrational. So, we conclude that 32 is irrational.

Example 11 : Show that 32 is irrational. Solution : Let us assume, to the contrary, that 3-/2 is rational. That is, we can find coprime a and b (b+ 0) such that 3/2 = b а Rearranging, we get /2 = - 3h а Since 3, a and b are integers, is rational, and so 5 is rational. 3b But this contradicts the fact that 2 is irrational. So, we conclude that 32 is irrational.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.2: Exponents And Radicals

Problem 92E

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