Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Appendix A - Review - A.10 nth Roots; Rational Exponents - A.10 Assess Your Understanding - Page A87: 8

Answer

$(c)\; 1+\sqrt{3}$

Work Step by Step

The given expression is $=\frac{\sqrt{2}}{1-\sqrt{3}}$ To rationalize the denominator, multiply both the numerator and the denominator by conjugate of the denominator. The conjugate of the denominator is $1+\sqrt{3}$. Hence, the correct option is $(c)\; 1+\sqrt{3}$.
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