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Chapter 9: Q. 266 - Exercises (page 1076)

In the following question, simplify .

(a) 53-7

(b)34-15

Short Answer

Expert verified

(a) The value is 15-57.

(b) The value is43-45.

Step by step solution

01

Step 1. Given information .

Consider the given square roots .

(a)53-7 (b)34-15

02

Step 2. Using distributive property of multiplication .

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

03

Step 3. (a)  Simplify 53-7 .

Using distributive property .

鈬�53-7鈬�5路3-5路7鈬�15-57

Therefore the value obtained after simplification is15-57.

04

Step 4. (b)  Simplify 34-15 .

Using distributive property .

鈬�34-15鈬�3路4-3路15鈬�43-45

Therefore the value obtained after simplification is43-45.

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