Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 9: Q 9.92. (page 1068)

Simplify: $(a) (\sqrt{6 x^{5}}) (\sqrt{2 x}) (b) (\sqrt{12 y^{2}}) (\sqrt{3 y^{5}})$

Short Answer

Expert verified

Part (a) $2 x^{3} \sqrt{3}$

Part (b) $6 y^{3} \sqrt{y}$

Step by step solution

Part (a) Step 1. Given information.

The given expression is:

$(\sqrt{6 x^{5}}) (\sqrt{2 x})$

Part (a) Step 2. Simplify the expression.

$(\sqrt{6 x^{5}}) (\sqrt{2 x})$

Multiply using the product property,

$\sqrt{12 x^{6}}$

Simplify the radical,

$\sqrt{4 x^{6}} 路 \sqrt{3}$

Simplify,

$2 x^{3} \sqrt{3}$

Part (b) Step 1. Given information.

The given expression is:

$(\sqrt{12 y^{2}}) (\sqrt{3 y^{5}})$

Part (b) Step 2. Simplify the expression.

$(\sqrt{12 y^{2}}) (\sqrt{3 y^{5}})$

Multiply using the product property,

$\sqrt{36 y^{7}}$

Simplify the radical,

$\sqrt{36 y^{6}} 路 \sqrt{y}$

Simplify,

$6 y^{3} \sqrt{y}$

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91影视

Simplify: $(a) (\sqrt{6 x^{5}}) (\sqrt{2 x}) (b) (\sqrt{12 y^{2}}) (\sqrt{3 y^{5}})$

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (a) Step 2. Simplify the expression.

Part (b) Step 1. Given information.

Part (b) Step 2. Simplify the expression.

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91影视

Simplify: a6x52xb12y23y5

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (a) Step 2. Simplify the expression.

Part (b) Step 1. Given information.

Part (b) Step 2. Simplify the expression.

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

Simplify: $(a) (\sqrt{6 x^{5}}) (\sqrt{2 x}) (b) (\sqrt{12 y^{2}}) (\sqrt{3 y^{5}})$