Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Appendix A - Review - A.7 nth Roots; Rational Exponents - A.7 Assess Your Understanding - Page A60: 36


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

Work Step by Step

To simplify the expression, we distribute (FOIL) and combine the like terms as follows: $$ (\sqrt x+\sqrt 5)^2=(\sqrt x)^2+2\sqrt x\sqrt 5+(\sqrt 5)^2\\ =x+2\sqrt{5 x}+5=5+x+2\sqrt{5 x} .$$
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