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Chapter 11: Q. 8.25 (page 1069)

Simplify48.

Short Answer

Expert verified

The value of the expression is 43.

Step by step solution

01

Step 1. Given and explanation.

We have 48.

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 of two radicals. Simplifying the expression will give us value.

02

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

We have 48.

We have 16as the largest perfect square factor of 48as16脳3=48 and
(4)2=16.

So we will rewrite the radical as product of two radicals using the product rule as,
48=16脳3=16脳3

03

Step 3. Simplifying the expression.

We have 16脳3.

We can write 16as 4because 16=4脳4.

So using it, we get the value as

=16脳3=43

Thus the value of the expression is43.

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