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Chapter 1: Q. 686 (page 143)

In the following exercises, identify whether each number is a real number or not a real number.

鈸�鈭�49鈸�鈭�144

Short Answer

Expert verified

The required answer is

Part (a) -49is not a real number

Part (b) -144is a real number

Step by step solution

01

Part (a) Step 1: Given information

鈭�49

02

Part (a) Step 2:  Calculation

Thereisnorealnumberwhosesquareis鈭�49.Therefore,-49isnotarealnumber.

03

Part (b) Step 1: Given information

-144

04

Part (b) Step 2: Calculation

Sincethenegativeisinfrontoftheradical,鈭�144is鈭�12,Since-12isarealnumber,鈭�144isarealnumber.

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