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Chapter 8: Q. 8.37 (page 763)

Simplify:

a5+75b10-755.

Short Answer

Expert verified

Part a. After simplifying we get, 5(1+3).

Part b. After simplifying we get,2-3.

Step by step solution

01

Part a Step 1. Rewrite the radicand as a product using the largest perfect square factor

Accordingly, we can write as

5+75=5+25脳3

02

Part a Step 2. Rewrite the radical as the product of two radicals

Thus,5+25路35+25路3

03

Part a Step 3. Simplify

After simplifying we get,

5+53=5(1+3).

04

Part b Step 1. Rewrite the radicand as a product using the largest perfect square factor

Accordingly, we can write as

10-755=10-25路35

05

Part b Step 2. Rewrite the radical as the product of two radicals

Thus,10-25路3510-25路35

06

Part b Step 3. Simplify

After simplifying we get,

10-25路35=10-535=5(2-3)5=2-3

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