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91Ó°ÊÓ

Chapter 9: Q. 271 - Exercises (page 1077)

In the following question, simplify.

(a) 2-5+92

(b)73-21

Short Answer

Expert verified

(a) The value is -52+18.

(b) The value is21-147.

Step by step solution

01

Step 1. Given information .

Consider the given square roots .

(a)2-5+92 (b)73-21

02

Step 2. Using distributive property of multiplication .

The distributive property of multiplication isab-c=ab-ac.

03

Step 3.  (a) Simplify 2-5+92 .

Using distributive property .

⇒2-5+92⇒2·-5+2·92⇒-52+18

Therefore the value obtained after simplification is-52+18.

04

Step 4. (b) Simplify 73-21 .

Using distributive property .

⇒73-21⇒7·3-7·21⇒21-147

Therefore the value obtained after simplification is21-147.

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