Q. 184 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 8: Q. 184 (page 797)

In the following exercises, simplify.
a. $(- 4 \sqrt{5}) (5 \sqrt{10})$
b. $(- 2 \sqrt[3]{9}) (7 \sqrt[3]{9})$

Short Answer

Expert verified

On multiplication, we get $- 100 \sqrt{2}, - 42 \sqrt[3]{9}$ respectively

Step by step solution

Part (a) Step 1: Given information

Given the expression $(- 4 \sqrt{5}) (5 \sqrt{10}), (- 2 \sqrt[3]{9}) (7 \sqrt[3]{9})$

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

Multiplying the terms and simplifying, we get, we get

$(- 4 \sqrt{5}) (5 \sqrt{10}) = (- 4.5) (\sqrt{5} . \sqrt{10}) (- 4 \sqrt{5}) (5 \sqrt{10}) = - 20 (\sqrt{5} . \sqrt{5} . \sqrt{2}) (- 4 \sqrt{5}) (5 \sqrt{10}) = - 20 (5 \sqrt{2}) (- 4 \sqrt{5}) (5 \sqrt{10}) = - 100 \sqrt{2}$

Part (b) Step 1: Given information

Given expression $(- 2 \sqrt[3]{9}) (7 \sqrt[3]{9})$

Part (b) Step 2: Multiplying and simplifying

Multiplying, we get

$(- 2 \sqrt[3]{9}) (7 \sqrt[3]{9}) = (- 2 路 7) (\sqrt[3]{9} 路 \sqrt[3]{9}) (- 2 \sqrt[3]{9}) (7 \sqrt[3]{9}) = - 14 路 \sqrt[3]{81} (- 2 \sqrt[3]{9}) (7 \sqrt[3]{9}) = - 14 路 \sqrt[3]{27 路 3} (- 2 \sqrt[3]{9}) (7 \sqrt[3]{9}) = - 14 路 \sqrt[3]{27} 路 \sqrt[3]{3} (- 2 \sqrt[3]{9}) (7 \sqrt[3]{9}) = - 14 路 \sqrt[3]{(3)^{3}} 路 \sqrt[3]{3} (- 2 \sqrt[3]{9}) (7 \sqrt[3]{9}) = - 14 路 3 路 \sqrt[3]{9} (- 2 \sqrt[3]{9}) (7 \sqrt[3]{9}) = - 42 \sqrt[3]{9}$

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91影视

In the following exercises, simplify.
a. $(- 4 \sqrt{5}) (5 \sqrt{10})$
b. $(- 2 \sqrt[3]{9}) (7 \sqrt[3]{9})$

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 and simplifying

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91影视

In the following exercises, simplify.a.(-45)(510)b.(-293)(793)

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 and simplifying

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

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Study anywhere. Anytime. Across all devices.

In the following exercises, simplify.
a. $(- 4 \sqrt{5}) (5 \sqrt{10})$
b. $(- 2 \sqrt[3]{9}) (7 \sqrt[3]{9})$