Answer
$x+2\sqrt{5x}+5$
Work Step by Step
We simplify:
$\displaystyle (\sqrt{x}+\sqrt{5})^2=(\sqrt{x}+\sqrt{5})(\sqrt{x}+\sqrt{5})=\sqrt{x}\sqrt{x}+2\sqrt{x}\sqrt{5}+\sqrt{5}\sqrt{5}=x+2\sqrt{x}\sqrt{5}+5=x+2\sqrt{5x}+5$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter R - Section R.8 - nth Roots; Rational Exponents - R.8 Assess Your Understanding - Page 78: 42
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