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91Ó°ÊÓ

Chapter 9: Q. 269 - Exercises (page 1077)

In the following question, simplify.

(a) 118+411

(b)312+27

Short Answer

Expert verified

(a) The value is811+44.

(b) The value is 36+81.

Step by step solution

01

Step 1. Given information .

Consider the given square roots .

(a)118+411 (b)312+27

02

Step 2. Using distributive property of multiplication .

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

03

Step 3. (a) Simplify 118+411 .

Using distributive property .

⇒118+411⇒11·8+11·411⇒811+44

Therefore the value obtained after simplification is811+44.

04

Step 4.  (b)  Simplify 312+27 .

Using distributive property .

⇒312+27⇒36+81

Therefore the value obtained after simplification is36+81.

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