Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 9 - Solving Quadratic Equations - 9.1 - Properties of Radicals - Monitoring Progress - Page 482: 13

Answer

$\frac{\sqrt{5}}{5}$.

Work Step by Step

The given expression is $=\frac{1}{\sqrt{5}}$ Multiply by $\frac{\sqrt{5}}{\sqrt{5}}$. $=\frac{1}{\sqrt{5}}\cdot \frac{\sqrt{5}}{\sqrt{5}}$ Use product property of square roots. $=\frac{\sqrt{5}}{\sqrt{5\cdot 5}}$ $=\frac{\sqrt{5}}{\sqrt{5^2}}$ Simplify. $=\frac{\sqrt{5}}{5}$.
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