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91Ó°ÊÓ

Chapter 9: Q. 268 - Exercises (page 1077)

In the following question, simplify.

(a) 75+27

510+18

Short Answer

Expert verified

(a) The value is 57+14.

(b) The value is50+90.

Step by step solution

01

Step 1. Given information .

Consider the given square roots .

(a)75+27 (b)510+18

02

Step 2. Using distributive property of multiplication .

The distributive property is ab+c=ab+ac.

03

Step 3. (a)  Simplify 75+27 .

Using distributive property .

⇒75+27⇒7·5+7·27⇒57+14

Therefore the value obtained after simplification is57+14.

04

Step 4.  (b) Simplify 510+18 .

Using distributive property .

⇒510+18⇒50+90

Therefore the value obtained after simplification is50+90.

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