Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - Chapter R Test Prep - Review Exercises - Page 84: 108



Work Step by Step

Rationalize the denominator by multiplying $m$ to both the numerator and the denominator of the radicand to obtain: $=\sqrt{\dfrac{2^7y^8(m)}{m^3(m)}} \\=\sqrt{\dfrac{2^7y^8m}{m^4}} \\=\sqrt{\dfrac{2^6y^8(2m)}{m^4}} \\=\sqrt{\dfrac{(2^3y^4)^2(2m)}{(m^2)^2}}$ Bring out the square root of the perfect square factors to obtain: $=\dfrac{2^3y^4\sqrt{2m}}{m^2} \\=\color{blue}{\dfrac{8y^4\sqrt{2m}}{m^2}}$
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.