Chapter 9: Q 140. (page 1054)

In the following exercises, simplify.
$\sqrt{\frac{50 r^{5} s^{2}}{128 r^{2} s^{5}}}$

Short Answer

Expert verified

The required answer is $\frac{5 r \sqrt{r}}{8 s \sqrt{s}}$ .

Step by step solution

Step 1. Given information.

The given expression is:

$\sqrt{\frac{50 r^{5} s^{2}}{128 r^{2} s^{5}}}$

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

$\sqrt{\frac{50 r^{5} s^{2}}{128 r^{2} s^{5}}}$
Simplify the fraction inside the radical first.

$\sqrt{\frac{25 r^{3}}{64 s^{3}}}$

Rewrite using the quotient property,

$\frac{\sqrt{25 r^{3}}}{\sqrt{64 s^{3}}}$

Simplify the radicals in the numerator and the denominator,

$\frac{\sqrt{25 r^{2}} \cdot \sqrt{r}}{\sqrt{64 s^{2}} \cdot \sqrt{s}}$

Simplify,

$\frac{5 r \sqrt{r}}{8 s \sqrt{s}}$

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In the following exercises, simplify.
$\sqrt{\frac{50 r^{5} s^{2}}{128 r^{2} s^{5}}}$

Short Answer

Step by step solution

Step 1. Given information.

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

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In the following exercises, simplify.50r5s2128r2s5

Short Answer

Step by step solution

Step 1. Given information.

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Calculus

Discrete Mathematics

Applied Mathematics

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify.
$\sqrt{\frac{50 r^{5} s^{2}}{128 r^{2} s^{5}}}$