Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 8 - Test - Page 621: 10


$$5\sqrt {2}$$

Work Step by Step

According to the product rule for square roots, the square root of two radicals that are multiplied together is the product of the two radicands. In this problem, we first multiply the two radicands together to get one radical expression: $$\sqrt {10} \times \sqrt {5} = \sqrt {50}$$ We can now simplify by using the product rule for square roots to split the radical into two component radicals. We want to divide the radical expression so that the radicand is the product of one perfect square and another factor: $$\sqrt {50} = \sqrt {25 \times 2}$$ Now we take the square root of $25$, which is $5$: $$5\sqrt {2}$$
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.