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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. 348 (page 1090)

In the following exercises, simplify and rationalize the denominator.
$\frac{4}{\sqrt{5}}$

Short Answer

Expert verified

The simplified expression can be given as $\frac{4 \sqrt{5}}{5}$

Step by step solution

01

Given information

We are given a expression $\frac{4}{\sqrt{5}}$

02

Now multiply numerator and denominator by 5

We get,

$\frac{4}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}} = \frac{4 \sqrt{5}}{5}$

03

Conclusion

The simplified expression can be given as $\frac{4 \sqrt{5}}{5}$ .

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Most popular questions from this chapter

In the following exercises, simplify and rationalize the denominator.

$\frac{3}{\sqrt{13}}$

Solve: $\sqrt{y - 5} + 5 = y$ .

Gravity: A construction worker dropped a hammer while building the Grand Canyon skywalk, 4000 feet above the Colorado River. Use the formula $t = \frac{\sqrt{h}}{4}$ to find how many seconds it took for the hammer to reach the river.

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In the following exercises, simplify by rationalizing the denominator

$\frac{\sqrt{5}}{\sqrt{n} - \sqrt{7}}$

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