Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Section 7.5 - Rationalizing Denominators and Numerators of Radical Expressions - Exercise Set: 90

Answer

$$ \frac{ \sqrt { 21 \pi v}}{7 \pi}$$

Work Step by Step

$$ \sqrt { \frac{3v} {7 \pi}}$$ We rationalize the denominator: $$ \sqrt { \frac{3v} {7 \pi}} \times \sqrt { \frac{7 \pi} {7 \pi}}$$ This gives: $$ \frac{ \sqrt { 3v*7 \pi}}{7 \pi}$$ $$ \frac{ \sqrt { 21 \pi v}}{7 \pi}$$
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