Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Cumulative Review: 23a

Answer

$5\sqrt 3+3\sqrt 10$

Work Step by Step

We can use the distributive property to simplify the given expression. $\sqrt 3(5+\sqrt 30)=(\sqrt 3\times5)+(\sqrt 3\times\sqrt 30)=5\sqrt 3+(\sqrt (3\times30)=5\sqrt 3+\sqrt 90=5\sqrt 3+\sqrt (9\times10)=5\sqrt 3+3\sqrt 10$ Recall that $\sqrt 9=3$, because $3^{2}=9$.
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