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: 65

Answer

$(\sqrt{3}+x)^{2}=x^{2}+2x\sqrt{3}+3$

Work Step by Step

$(\sqrt{3}+x)^{2}$ Evaluate this power using the formula for squaring a binomial. The formula is $(a+b)^{2}=a^{2}+2ab+b^{2}$. In this expression $a=\sqrt{3}$ and $b=x$ Substitute the known values in the formula and simplify if possible: $(\sqrt{3}+x)^{2}=(\sqrt{3})^{2}+2x\sqrt{3}+x^{2}=x^{2}+2x\sqrt{3}+3$
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