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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 9.93 (page 1068)

Simplify: $(6 \sqrt{2 x^{2}}) (8 \sqrt{45 x^{4}})$ .

Short Answer

Expert verified

The required answer is $144 x^{3} \sqrt{10}$ .

Step by step solution

01

Step 1. Given information.

The given expression is:

$(6 \sqrt{2 x^{2}}) (8 \sqrt{45 x^{4}})$

02

Step 2. Simplify the expression.

$(6 \sqrt{2 x^{2}}) (8 \sqrt{45 x^{4}})$

Multiply using the product property,

$48 \sqrt{90 x^{6}}$

Simplify the radical,

$48 \sqrt{9 x^{6}} \cdot \sqrt{10}$

Simplify,

$48 \cdot 3 x^{3} \cdot \sqrt{10} 144 x^{3} \sqrt{10}$

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Most popular questions from this chapter

In the following exercises, simplify and rationalize the denominator.

$\sqrt{\frac{17}{192}}$

In the following exercises, solve:

(a) $\sqrt{a} + 2 = \sqrt{a + 4}$

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Try It.

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