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Chapter 8: Q. 8.26 (page 758)

Simplify45

Short Answer

Expert verified

The value of the expression is35.

Step by step solution

01

Step 1. Given and explanation.

We have 45.

Firstly, we will find the largest perfect square factor of the given number in the radicand.

Then using it, we will rewrite the expression as the product of two factors.

Then using the product rule, we will rewrite the radical as the product if two radicals. The simplifying the expression will give us the value.

02

Step 2. Rewriting radical as product of two radicals using a perfect square.

We have 45.

We have 9as the largest perfect square factor of 45as9脳5=45 and
(3)2=9.

So we will rewrite the radical as product of two radicals using the product rule.

45=9脳5=9脳5

03

Step 3. Simplifying the expression.

We have 9脳5.

We can write 9as 3because 9=3脳3

So using it, we get the value as

=9脳5=35

Thus the value of the expression is35.

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