Answer
$\displaystyle \frac{\sqrt{2}}{2}$
Work Step by Step
We rationalize the denominator:
$\displaystyle \frac{1}{\sqrt{2}}=\frac{1*\sqrt{2}}{\sqrt{2}*\sqrt{2}}=\frac{\sqrt{2}}{2}$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter R - Section R.8 - nth Roots; Rational Exponents - R.8 Assess Your Understanding - Page 79: 49
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