Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter R - Algebra Reference - R.7 Radicals - R.7 Exercises: 36

Answer

$\dfrac{5\sqrt{m}+5\sqrt{5}}{m-5}$

Work Step by Step

Rationalize the denominator by multiplying $\sqrt{m}+\sqrt{5}$ to both the numerator and the denominator to have: $=\dfrac{5}{\sqrt{m}-\sqrt{5}} \cdot \dfrac{\sqrt{m}+\sqrt{5}}{\sqrt{m}+\sqrt{5}} \\=\dfrac{5\sqrt{m}+5\sqrt{5}}{m-5}$
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