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Chapter 9: Q 9.136. (page 1085)

Simplify:332.

Short Answer

Expert verified

Simplified form of332is68.

Step by step solution

01

Step 1. Given information.

Given a fraction 332.

02

Step 2. Check if the fraction is a perfect square.

The fraction is not a perfect square.

So, rewrite using the quotient property.

Quotient property of square roots says that if a, b are non-negative number and b鈮�0, then ab=ab.

It follows that 332=332.

03

Step 3. Simplify the denominator.

Simplify the denominator as 332=342.

04

Step 4. Rationalize the denominator and simplify.

Rationalize the denominator by multiplying both numerator and denominator by .

Rationalize and simplify as follows.

342=3路242路2=64路2=68

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