Q. 178 In the following exercises, simp... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 11: Q. 178 (page 1069)

In the following exercises, simplify.
a. $\sqrt{48 b^{5}} - \sqrt{75 b^{5}}$
b. $8 \sqrt[3]{64 q^{6}} - 3 \sqrt[3]{125 q^{6}}$

Short Answer

Expert verified

On simplification, we get $- b^{2} \sqrt{3 b}, 17 q^{2}$ respectively

Step by step solution

Part (a) Step 1: Given information

Given the expression $\sqrt{48 b^{5}} - \sqrt{75 b^{5}}$

Part (a) Step 2: Simplifying the radical and combine like terms

Simplifying radical and combining we get

$\sqrt{48 b^{5}} - \sqrt{75 b^{5}} = \sqrt{16 b^{4} 路 3 b} - \sqrt{25 b^{4} 路 3 b} \sqrt{48 b^{5}} - \sqrt{75 b^{5}} = \sqrt{16 b^{4}} 路 \sqrt{3 b} - \sqrt{25 b^{4}} 路 \sqrt{3 b} \sqrt{48 b^{5}} - \sqrt{75 b^{5}} = 4 b^{2} \sqrt{3 b} - 5 b^{2} \sqrt{3 b} \sqrt{48 b^{5}} - \sqrt{75 b^{5}} = - b^{2} \sqrt{3 b}$

Part (b) Step 1: Given information

Given expression $8 \sqrt[3]{64 q^{6}} - 3 \sqrt[3]{125 q^{6}}$

Part (b) Step 2: Simplifying the radical and combine like terms

Simplifying radical and combining we get

$8 \sqrt[3]{64 q^{6}} - 3 \sqrt[3]{125 q^{6}} = 8 \sqrt[3]{64 q^{6}} - 3 \sqrt[3]{125 q^{6}} 8 \sqrt[3]{64 q^{6}} - 3 \sqrt[3]{125 q^{6}} = 8 路 \sqrt[3]{{(4 q^{2})}^{3}} - 3 路 \sqrt[3]{{(5 q^{2})}^{3}} 8 \sqrt[3]{64 q^{6}} - 3 \sqrt[3]{125 q^{6}} = 8 路 4 q^{2} - 3 路 5 q^{2} 8 \sqrt[3]{64 q^{6}} - 3 \sqrt[3]{125 q^{6}} = 32 q^{2} - 15 q^{2} 8 \sqrt[3]{64 q^{6}} - 3 \sqrt[3]{125 q^{6}} = 17 q^{2}$

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91影视

In the following exercises, simplify.
a. $\sqrt{48 b^{5}} - \sqrt{75 b^{5}}$
b. $8 \sqrt[3]{64 q^{6}} - 3 \sqrt[3]{125 q^{6}}$

Short Answer

Step by step solution

Part (a) Step 1: Given information

Part (a) Step 2: Simplifying the radical and combine like terms

Part (b) Step 1: Given information

Part (b) Step 2: Simplifying the radical and combine like terms

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91影视

In the following exercises, simplify.a.48b5-75b5b.864q63-3125q63

Short Answer

Step by step solution

Part (a) Step 1: Given information

Part (a) Step 2: Simplifying the radical and combine like terms

Part (b) Step 1: Given information

Part (b) Step 2: Simplifying the radical and combine like terms

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Discrete Mathematics

Applied Mathematics

Mechanics Maths

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify.
a. $\sqrt{48 b^{5}} - \sqrt{75 b^{5}}$
b. $8 \sqrt[3]{64 q^{6}} - 3 \sqrt[3]{125 q^{6}}$