Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 10 - Radical Expressions and Equations - 10-2 Simplifying Radicals - Practice and Problem-Solving Exercises: 60

Answer

$\frac{3\sqrt 2}{4}$

Work Step by Step

Rationalize the denominator by multiplying $\sqrt 64$ to the numerator and denominator. $\frac{\sqrt 72}{\sqrt 64}\times\frac{\sqrt 64}{\sqrt 64}$ Simplify $\frac{\sqrt 4608}{64}$ $\frac{\sqrt 2\times\sqrt 2304}{64}$ $\frac{48\sqrt 2}{64}$ $\frac{3\sqrt 2}{4}$ Answer: $\frac{3\sqrt 2}{4}$
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