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 - Exercises - Page 486: 45

Answer

$\sqrt {2}$

Work Step by Step

The given expression is $=\frac{2}{\sqrt {2}}$ Multiply by $\frac{\sqrt {2}}{\sqrt {2}}$. $=\frac{2}{\sqrt {2}}\cdot \frac{\sqrt {2}}{\sqrt {2}}$ Use product property of square roots. $=\frac{2\sqrt {2}}{\sqrt {2\cdot 2}}$ Simplify. $=\frac{2\sqrt {2}}{\sqrt {4}}$ Use $4=2^2$. $=\frac{2\sqrt {2}}{\sqrt {2^2}}$ Simplify. $=\frac{2\sqrt {2}}{2}$ $=\sqrt {2}$
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