Answer
$\dfrac{\sqrt 2}{2}$
Work Step by Step
We rationalize the denominator by multiplying both numerator and denominator by $\sqrt 2$:
$$
\frac{1}{\sqrt 2}=\frac{\sqrt 2}{\sqrt 2 \sqrt 2}=\frac{\sqrt 2}{2}
$$
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: 43
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