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Chapter 9: Q 9.128. (page 1082)

Simplify:75q5108q.

Short Answer

Expert verified

Simplified form of75q5108qis5q26.

Step by step solution

01

Step 1. Given information.

Given a fraction75q5108q.

02

Step 2. Check if either of the radicand is a perfect square.

Neither radicand is perfect square.

So, rewrite the fraction using the quotient property of square roots.

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

It follows that 75q5108q=75q5108q.

03

Step 3. Remove common factors in the numerator and denominator.

Simplify the fraction as follows.

75q5108q=3路25路q路q43路36路q=25q436

04

Step 4. Simplify the radical.

Note that 25=5,36=6.

It follows that 25q436=5q26.

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