Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.3 - Multiplying and Simplifying Radical Expressions - Exercise Set: 67

Answer

$10xy\sqrt{2y}$

Work Step by Step

RECALL: For any non-negative real numbers a and b, $\sqrt[n]{a} \cdot \sqrt[n]{b} = \sqrt[n]{ab}$ Use the rule above to obtain: $=\sqrt{(50xy)(4xy^2)} \\=\sqrt{200x^2y^3}$ Factor the radicand (expression inside the radical sign) so that at least one factor is a perfect square, and then simplify to obtain: $=\sqrt{100x^2y^2(2y)} \\=\sqrt{(10xy)^2(2y)} \\=10xy\sqrt{2y}$ (There is no need for the absolute value since $x$ is a positive real number.)
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.