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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: Q 9.94. (page 1069)

Simplify: $(2 \sqrt{6 y^{4}}) (12 \sqrt{30 y})$ .

Short Answer

Expert verified

The required answer is $144 y^{2} \sqrt{5 y}$ .

Step by step solution

01

Step 1. Given information.

The given expression is:

$(2 \sqrt{6 y^{4}}) (12 \sqrt{30 y})$

02

Step 2. Simplify the expression.

$(2 \sqrt{6 y^{4}}) (12 \sqrt{30 y})$

Multiply using the product property,

$24 \sqrt{180 y^{5}}$

Simplify the radical,

$24 \sqrt{36 y^{4}} 路 \sqrt{5 y}$

Simplify,

$24 路 6 y^{2} 路 \sqrt{5 y} 144 y^{2} \sqrt{5 y}$

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Most popular questions from this chapter

In the following exercises, solve.

$\sqrt{2 y + 4} + 6 = 0$

In the following exercises, solve:

$\sqrt{4 v + 3} = \sqrt{v - 6}$ .

Try It.

Solve: $\sqrt{m} + 5 = \sqrt{m + 16}$

In the following exercises, simplify by rationalizing the denominator

$\frac{\sqrt{2}}{\sqrt{x} - \sqrt{6}}$

In the following exercises, simplify by rationalizing the denominator

(a) $\frac{6}{6 + \sqrt{5}}$ (b) $\frac{5}{4 - \sqrt{11}}$

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