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91Ó°ÊÓ

Chapter 9: Q. 267 - Exercises (page 1077)

In the following question, simplify.

(a) 7-2-11

(b)76-14

Short Answer

Expert verified

(a) The value is -14-711.

(b) The value is67-98.

Step by step solution

01

Step 1. Given information .

Consider the given square roots .

(a)7-2-11 (b)76-14

02

 Using distributive property of multiplication .

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

03

Step 3.  (a)  Simplify 7-2-11 .

Using distributive property .

⇒7-2-11⇒7·-2-7·11⇒-14-711

Therefore the value obtained after simplification is-14-711.

04

Step 4.  (b)  Simplify 76-14 .

Using distributive property .

⇒76-14⇒7·6-7·14⇒67-98

Therefore the value obtained after simplification is67-98.

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