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 485: 17

Answer

$5\sqrt{5b}$.

Work Step by Step

The given expression is $=\sqrt{125b}$ Factor as square terms. $=\sqrt{25\cdot 5b}$ Use product property of square roots. $=\sqrt{25}\cdot \sqrt{5b}$ Use $25=5^2$. $=\sqrt{5^2}\cdot \sqrt{5b}$ Simplify. $=5\sqrt{5b}$.
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