Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.4 - Adding, Subtracting, and Multiplying Radical Expressions - Exercise Set - Page 711: 74



Work Step by Step

$(\sqrt{3x+1}+2)^{2}$ Use the formula for squaring a binomial to evaluate this power. The formula is $(a+b)^{2}=a^{2}+2ab+b^{2}$. In this expression, $a=\sqrt{3x+1}$ and $b=2$. Substitute the known values into the formula and simplify if possible: $(\sqrt{3x+1}+2)^{2}=(\sqrt{3x+1})^{2}+4\sqrt{3x+1}+4=...$ $...=3x+1+4\sqrt{3x+1}+4=...$ $...=3x+4\sqrt{3x+1}+5$
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