Q. 193 In the following exercises, mult... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 193 (page 798)

In the following exercises, multiply.
a. $\sqrt{11} (- 3 + 4 \sqrt{11})$
b. $\sqrt[4]{3} (\sqrt[4]{54} + \sqrt[4]{18})$

Short Answer

Expert verified

On multiplication, we get $- 3 \sqrt{11} + 44, 3 \sqrt[4]{2} + \sqrt[4]{54}$ respectively

Step by step solution

Part (a) Step 1: Given information

Given the expression $\sqrt{11} (- 3 + 4 \sqrt{11})$

Part (a) Step 2: Multiplying the terms and simplifying

Multiplying the terms and simplifying

$\sqrt{11} (- 3 + 4 \sqrt{11}) = - 3 \sqrt{11} + 4 脳 11 \sqrt{11} (- 3 + 4 \sqrt{11}) = - 3 \sqrt{11} + 44$

Part (b) Step 1: Given information

Given expression $\sqrt[4]{3} (\sqrt[4]{54} + \sqrt[4]{18})$

Part (b) Step 2: Multiplying the terms and simplifying

Multiplying the terms and simplifying, we get

$\sqrt[4]{3} (\sqrt[4]{54} + \sqrt[4]{18}) = \sqrt[4]{3} 路 \sqrt[4]{54} + \sqrt[4]{3} 路 \sqrt[4]{18} \sqrt[4]{3} (\sqrt[4]{54} + \sqrt[4]{18}) = \sqrt[4]{162} + \sqrt[4]{54} \sqrt[4]{3} (\sqrt[4]{54} + \sqrt[4]{18}) = = \sqrt[4]{81 路 2} + \sqrt[4]{54} \sqrt[4]{3} (\sqrt[4]{54} + \sqrt[4]{18}) = \sqrt[4]{81} 路 \sqrt[4]{2} + \sqrt[4]{54} \sqrt[4]{3} (\sqrt[4]{54} + \sqrt[4]{18}) = \sqrt[4]{(3)^{4}} 路 \sqrt[4]{2} + \sqrt[4]{54} \sqrt[4]{3} (\sqrt[4]{54} + \sqrt[4]{18}) = 3 路 \sqrt[4]{2} + \sqrt[4]{54} \sqrt[4]{3} (\sqrt[4]{54} + \sqrt[4]{18}) = 3 \sqrt[4]{2} + \sqrt[4]{54}$

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91影视

In the following exercises, multiply.
a. $\sqrt{11} (- 3 + 4 \sqrt{11})$
b. $\sqrt[4]{3} (\sqrt[4]{54} + \sqrt[4]{18})$

Short Answer

Step by step solution

Part (a) Step 1: Given information

Part (a) Step 2: Multiplying the terms and simplifying

Part (b) Step 1: Given information

Part (b) Step 2: Multiplying the terms and simplifying

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91影视

In the following exercises, multiply.a.11(-3+411)b.34(544+184)

Short Answer

Step by step solution

Part (a) Step 1: Given information

Part (a) Step 2: Multiplying the terms and simplifying

Part (b) Step 1: Given information

Part (b) Step 2: Multiplying the terms and simplifying

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

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Applied Mathematics

Discrete Mathematics

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Study anywhere. Anytime. Across all devices.

In the following exercises, multiply.
a. $\sqrt{11} (- 3 + 4 \sqrt{11})$
b. $\sqrt[4]{3} (\sqrt[4]{54} + \sqrt[4]{18})$