Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Appendix A - Review - A.10 nth Roots; Rational Exponents - A.10 Assess Your Understanding - Page A88: 42

Answer

$x+2\sqrt {5x}+5$

Work Step by Step

Use special formula $(a+b)^2=a^2+2ab+b^2$. We have $a=\sqrt x$ and $b=\sqrt 5$. $(\sqrt{x}+\sqrt5)^2=(\sqrt{x})^2+2(\sqrt x)(\sqrt 5)+(\sqrt 5)^2$ Simplify. $=x+2\sqrt {5x}+5$ Hence, the correct answer is $x+2\sqrt {5x}+5$.
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