Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 10 - Radical Expressions and Equations - 10-3 Operations With Radical Expressions - Practice and Problem-Solving Exercises - Page 629: 22

Answer

= $5\sqrt 3 -3 \sqrt 5$.

Work Step by Step

We can simplify the expression as follows: = $\sqrt 5(\sqrt 15 - 3)$ = $\sqrt 5((\sqrt 5*\sqrt 3) - \sqrt 3* \sqrt 3)$ = $\sqrt 5(\sqrt 3(\sqrt 5 -\sqrt 3))$ ( Taking out $\sqrt 3$) = $5\sqrt 3 -3 \sqrt 5$.
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