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: 49

Answer

$\frac{3\sqrt {a}}{a}$

Work Step by Step

The given expression is $=\frac{3}{\sqrt{a}}$ Multiply by $\frac{\sqrt {a}}{\sqrt {a}}$. $=\frac{3}{\sqrt{a}}\cdot \frac{\sqrt {a}}{\sqrt {a}}$ Use product property of square roots. $=\frac{3\sqrt {a}}{\sqrt {a\cdot a}}$ Simplify. $=\frac{3\sqrt {a}}{\sqrt {a^2}}$ $=\frac{3\sqrt {a}}{a}$
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