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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 9: Q 134. (page 1054)

In the following exercises, simplify.
$\sqrt{\frac{49 r^{12}}{16 r^{6}}}$

Short Answer

Expert verified

The required answer is $\frac{7 r^{3}}{4}$ .

Step by step solution

01

Step 1. Given information.

The given expression is:

$\sqrt{\frac{49 r^{12}}{16 r^{6}}}$

02

Step 2. Use the quotient property to simplify the square root.

$\sqrt{\frac{49 r^{12}}{16 r^{6}}}$

Simplify the fraction inside the radical first.

$\sqrt{\frac{49 r^{6}}{16}}$

Rewrite using the quotient property,

$\frac{\sqrt{49 r^{6}}}{\sqrt{16}}$

Simplify,

$\frac{7 r^{3}}{4}$

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Most popular questions from this chapter

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Katie wants to plant a square lawn in her front yard. She has enough sod to cover an area of $370$ square feet. Use the formula $s = \sqrt{A}$ to find the length of each side of her lawn. Round your answer to the nearest tenth of a foot.

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(a) $\sqrt{s - 8} - s = - 8$

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Try It.

Sergio wants to make a square mosaic as an inlay for a table he is building. He has enough tile to cover an area of $2704$ square centimeters. Use the formula $s = \sqrt{A}$ to find the length of each side of his mosaic. Round your answer to the nearest tenth of a centimeter.

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