Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 8 - Section 8.4 - Rationalizing the Denominator - Exercise Set: 28

Answer

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

Work Step by Step

$\frac{15}{\sqrt{50}}$ Simplify by factoring out perfect squares. $\frac{15}{\sqrt{(25)(2)}}$ Simplify. $\frac{15}{5\sqrt2}$ Reduce. Divide the numerator and denominator by greatest common factor of 5. $\frac{3}{\sqrt2}$ Rationalize the denominator. $\frac{3}{\sqrt2}\times\frac{\sqrt2}{\sqrt2}$ Use product rule for square roots. $\frac{3\sqrt{2}}{2}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.