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: 14

Answer

$\frac{\sqrt{30}}{3}$.

Work Step by Step

The given expression is $=\frac{\sqrt{10}}{\sqrt{3}}$ Multiply by $\frac{\sqrt{3}}{\sqrt{3}}$. $=\frac{\sqrt{10}}{\sqrt{3}}\cdot \frac{\sqrt{3}}{\sqrt{3}}$ Use product property of square roots. $=\frac{\sqrt{10\cdot 3}}{\sqrt{3\cdot 3}}$ $=\frac{\sqrt{30}}{\sqrt{3^2}}$ Simplify. $=\frac{\sqrt{30}}{3}$.
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