Answer
$3\sqrt 5-\sqrt 10$
Work Step by Step
$\frac{7\sqrt 5}{3+\sqrt 2}$
Multiply the equation with $\frac{3-\sqrt 2}{3-\sqrt 2}$
$=\frac{7\sqrt 5(3-\sqrt 2)}{9-2}$
$=\frac{21\sqrt 5-7\sqrt 10}{7}$
$=3\sqrt 5-\sqrt 10$
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
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 - Lesson Check - Page 629: 5
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