Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - 9.4 - Products and Quotients Involving Radicals - Problem Set 9.4: 11

Answer

$15\sqrt{21}$

Work Step by Step

First of all, in order to make this one large square root, we multiply the coefficients to obtain that the new coefficient is 15. Also, recall, $\sqrt{a}\times \sqrt{b}= \sqrt{a \times b}$. Thus, we can multiply 3 and 7 to obtain the simplified expression: $15\sqrt{3 \times 7}=15\sqrt{21}$
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