#### Answer

$\sqrt[6] {200}$

#### Work Step by Step

$\sqrt[3] 5\sqrt 2=5^{1/3}2^{1/2}=5^{2/6}2^{3/6}=(5^{2}2^{3})^{1/6}=(200)^{1/6}=\sqrt[6] {200}$

Published by
Pearson

ISBN 10:
0321726391

ISBN 13:
978-0-32172-639-1

$\sqrt[6] {200}$

$\sqrt[3] 5\sqrt 2=5^{1/3}2^{1/2}=5^{2/6}2^{3/6}=(5^{2}2^{3})^{1/6}=(200)^{1/6}=\sqrt[6] {200}$

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.