Answer
$\frac{6}{5\sqrt6}$
Work Step by Step
We simplify as follows:
$\frac{\sqrt{18}}{\sqrt{75}}$
$=\frac{\sqrt{9\times2}}{\sqrt{25\times3}}$
$=\frac{3\sqrt2}{5\sqrt3}$
$=\frac{3\sqrt2\sqrt2}{5\sqrt3\sqrt2}$
$=\frac{6}{5\sqrt6}$
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 10 - Section 10.5 - Rationalizing Numerators and Denominators of Radical Expressions - Practice - Page 715: 9
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
