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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 373 (page 1091)

In the following exercises, simplify by rationalizing the denominator
$\frac{\sqrt{150 x^{2} y^{6}}}{\sqrt{6 x^{4} y^{2}}}$

Short Answer

Expert verified

$\frac{5 y^{2}}{x}$

Step by step solution

01

Step 1. Given Information

$\frac{\sqrt{150 x^{2} y^{6}}}{\sqrt{6 x^{4} y^{2}}}$

02

Step 2. Rationalize

$\frac{\sqrt{150 x^{2} y^{6}}}{\sqrt{6 x^{4} y^{2}}} \frac{5 \sqrt{2} \sqrt{3} x y^{3}}{\sqrt{2} \sqrt{3} x^{2} y} \frac{5 y^{2}}{x}$

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Most popular questions from this chapter

Solve: $\sqrt{3 m + 2} - 5 = 0$

In the following exercises, simplify by rationalizing the denominator

(a) $\frac{3}{3 + \sqrt{11}}$ (b) $\frac{8}{1 - \sqrt{5}}$

Try It.

Solve: $\sqrt{2 x - 5} = \sqrt{5 x + 3}$

In the following exercises, simplify by rationalizing the denominator

(a) $\frac{4}{4 + \sqrt{7}}$ (b) $\frac{7}{2 - \sqrt{6}}$

In the following exercises, solve:

$3 \sqrt{7 y + 1} - 10 = 8$ .

See all solutions

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