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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. 355 (page 1090)

In the following exercises, simplify and rationalize the denominator.
$- \frac{9}{2 \sqrt{3}}$

Short Answer

Expert verified

The simplified expression can be given as $- \frac{3 \sqrt{3}}{2}$

Step by step solution

01

Given information

We are given an expression $- \frac{9}{2 \sqrt{3}}$

02

now multiply the numerator and denominator by 3

We get,

$- \frac{9}{2 \sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} = - \frac{9 \sqrt{3}}{6} = - \frac{3 \sqrt{3}}{2}$

03

Conclusion

The simplified expression can be given as $- \frac{3 \sqrt{3}}{2}$

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Most popular questions from this chapter

For the equation $\sqrt{- x + 2} = x$ :

Part (a): Is $x = - 2$ a solution?

Part (b): Is $x = 1$ a solution?

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.

Accident investigation: The skid marks for a car involved in an accident measured 216 feet. Use the formula $s = \sqrt{24 d}$ to find the speed of the car before the brakes were applied. Round your answer to the nearest tenth.

In the following exercises, simplify and rationalize the denominator.

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

Try It.

Solve: $\sqrt{x} + 3 = \sqrt{x + 5}$

See all solutions

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