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 - Review Exercises - Page 619: 13


$$12\sqrt 5$$

Work Step by Step

We can use the product rule for square roots to rewrite the radicand as a product of the greatest perfect square factor and another factor: $$6(\sqrt 4 \sqrt 5)$$ Because $4$ is a perfect square, we go ahead and simplify the expression by taking the square root of $4$, which is $2$: $$6(2)(\sqrt 5)$$ We can now multiply the coefficients together: $$12\sqrt 5$$
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