Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.3 - Algebraic Expressions - 1.3 Exercises - Page 34: 95

Answer

$(x^{2}+1)^{1/2}+2(x^{2}+1)^{-1/2}=\dfrac{x^{2}+3}{\sqrt{x^{2}+1}}$

Work Step by Step

$(x^{2}+1)^{1/2}+2(x^{2}+1)^{-1/2}$ Take out common afctor $(x^{2}+1)^{-1/2}$: $(x^{2}+1)^{1/2}+2(x^{2}+1)^{-1/2}=(x^{2}+1)^{-1/2}[(x^{2}+1)+2]=...$ $...=(x^{2}+1)^{-1/2}(x^{2}+3)=\dfrac{x^{2}+3}{\sqrt{x^{2}+1}}$
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.