Answer
$ \frac{\sqrt {14}-2\sqrt 2}{3}$
Work Step by Step
$\frac{\sqrt 2}{\sqrt 7+2}=\frac{\sqrt 2}{\sqrt 7+2}\times\frac{\sqrt 7-2}{\sqrt 7-2}=\frac{\sqrt 2(\sqrt 7-2)}{7-4}=\frac{\sqrt {14}-2\sqrt 2}{3}$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Appendix A - Review - A.7 nth Roots; Rational Exponents - A.7 Assess Your Understanding - Page A61: 48
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