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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 9: 305 (page 1077)

In the following exercises, simplify.
$(\sqrt{35 y^{3}}) (\sqrt{7 y^{3}})$

Short Answer

Expert verified

The simplified form of the given expression is $7 \sqrt{5} y^{3}$ .

Step by step solution

01

Step 1. Given information.

The given expression is:

$(\sqrt{35 y^{3}}) (\sqrt{7 y^{3}})$

02

Step 2. Determine the simplified form.

The given expression can be written as:

$\begin{array}{rcl} (\sqrt{35 y^{3}}) (\sqrt{7 y^{3}}) & = & \sqrt{(35 路 7) 路 (y^{3} 路 y^{3})} \\ = & \sqrt{(245) 路 (y^{6})} \\ = & \sqrt{49} 路 \sqrt{5} 路 \sqrt{y^{6}} \\ = & 7 路 \sqrt{5} 路 y^{3} \\ = & 7 \sqrt{5} y^{3} \end{array}$

03

Step 3. Conclusion.

The simplified form of the given expression is $7 \sqrt{5} y^{3}$ .

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Most popular questions from this chapter

In the following exercises solve:

$3 \sqrt{2 x - 3} - 20 = 7$ .

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

In the following exercises, simplify and rationalize the denominator.

$- \frac{9}{2 \sqrt{3}}$

Solve: $\sqrt{4 x + 8} = 6$ .

In the following exercises, simplify by rationalizing the denominator

(a) $\frac{5}{5 + \sqrt{6}}$ (b) $\frac{6}{3 - \sqrt{7}}$

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