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Chapter 1: Q. 1.223 (page 135)

For each number given, identify whether it is rational or irrational:

a81b17

Short Answer

Expert verified

The solution isarational ,birrational.

Step by step solution

01

Part (a) Step 1. Given information 

Number: 81

02

Part (a) Step 2. Calculation 

Here, 81is a perfect square, since 92=81.

So,81=9, therefore81is rational.

03

Part (b) Step 1. Given information 

Number:17

04

Part (b) Step 2. Calculation 

We know that 42=16and 52=25, so 17is not a perfect square.

Therefore, the decimal form of 17will never repeat and never stop, so17is irrational.

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