Q. 185 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. 185 (page 798)

In the following exercises, simplify.
a. $(5 \sqrt{6}) (- \sqrt{12})$
b. $(- 2 \sqrt[4]{18}) (- \sqrt[4]{9})$

Short Answer

Expert verified

On multiplication, we get $- 30 \sqrt{2}, 6 \sqrt[4]{2}$ respectively

Step by step solution

Part (a) Step 1: Given information

Given the expression $(5 \sqrt{6}) (- \sqrt{12}), (- 2 \sqrt[4]{18}) (- \sqrt[4]{9})$

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

Multiplying the terms and simplifying, we get, we get

$(5 \sqrt{6}) (- \sqrt{12}) = (5 . - 1) (\sqrt{6} . \sqrt{12}) (5 \sqrt{6}) (- \sqrt{12}) = - 5 (\sqrt{6} . \sqrt{6} . \sqrt{2}) (5 \sqrt{6}) (- \sqrt{12}) = - 5 (6 \sqrt{2}) (5 \sqrt{6}) (- \sqrt{12}) = - 30 \sqrt{2}$

Part (b) Step 1: Given information

Given expression $(- 2 \sqrt[4]{18}) (- \sqrt[4]{9})$

Part (b) Step 2: Multiplying and simplifying

Multiplying, we get

$(- 2 \sqrt[4]{18}) (- \sqrt[4]{9}) = [(- 2) 路 (- 1)] (\sqrt[4]{18} 路 \sqrt[4]{9}) (- 2 \sqrt[4]{18}) (- \sqrt[4]{9}) = 2 路 \sqrt[4]{162} (- 2 \sqrt[4]{18}) (- \sqrt[4]{9}) = 2 路 \sqrt[4]{81 路 2} (- 2 \sqrt[4]{18}) (- \sqrt[4]{9}) = 2 路 \sqrt[4]{81} 路 \sqrt[4]{2} (- 2 \sqrt[4]{18}) (- \sqrt[4]{9}) = 2 路 \sqrt[4]{(3)^{4}} 路 \sqrt[4]{2} (- 2 \sqrt[4]{18}) (- \sqrt[4]{9}) = 2 路 3 路 \sqrt[4]{2} (- 2 \sqrt[4]{18}) (- \sqrt[4]{9}) = 6 \sqrt[4]{2}$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

In the following exercises, simplify.
a. $(5 \sqrt{6}) (- \sqrt{12})$
b. $(- 2 \sqrt[4]{18}) (- \sqrt[4]{9})$

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Applied Mathematics

Pure Maths

Geometry

Logic and Functions

Calculus

Study anywhere. Anytime. Across all devices.

91影视

In the following exercises, simplify.a.(56)(-12)b.(-2184)(-94)

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

Decision Maths

Applied Mathematics

Pure Maths

Geometry

Logic and Functions

Calculus

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify.
a. $(5 \sqrt{6}) (- \sqrt{12})$
b. $(- 2 \sqrt[4]{18}) (- \sqrt[4]{9})$