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Chapter 1: Q. 681 (page 143)

In the following exercises, identify whether each number is rational or irrational.

鈸�164鈸�169

Short Answer

Expert verified

The required answer is

Part (a) 164is an irrational number

Part (b) 169is a rational number

Step by step solution

01

Part (a) Step 1: Given information

164

02

Part (a) Step 2: Calculation

Rememberthat122=144and132=169So,164isnotaperfectsquare.Thereforethedecimalformof164willneverrepeatandneverstop.So,164isirrational

03

Part (b) Step 1: Given information

169

04

Part (b) Step 2: Calculation

169isaperfectsquareSince132=169.Therefore169isrational

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