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Chapter 9: Q 9.125. (page 1081)

Simplify:12r36r.

Short Answer

Expert verified

Simplified form of12r36risr2.

Step by step solution

01

Step 1. Given information.

Given a fraction12r36r.

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 that12r36r=12r36r.

03

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

Simplify the fraction as follows.

12r36r=6路2路r路r26路r=2r2

04

Step 4. Simplify the radical.

Note that r2=r.

It follows that2r2=r2.

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Most popular questions from this chapter

(a) Solve the equation r+4-r+2=0

(b) Explain why one of the 鈥渟olutions鈥� that was found was not actually a solution to the equation.

Gravity : While putting up holiday decorations, Renee dropped a light bulb from the top of a 64 foot tall tree. Use the formula t=h4to find how many seconds it took for the light bulb to reach the ground.

Accident investigation: An accident investigator measured the skid marks of one of the vehicles involved in an accident. The length of the skid marks was 117 feet. Use the formulas=24d to find the speed of the vehicle before the brakes were applied. Round your answer to the nearest tenth.

In the following exercises, simplify and rationalize the denominator.

45

In the following exercises, simplify by rationalizing the denominator

(a)33+11 (b)81-5
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