Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 10 - Radical Expressions and Equations - 10-2 Simplifying Radicals - Practice and Problem-Solving Exercises: 30

Answer

$-180 \sqrt 5s^{3}$

Work Step by Step

$(-6 \sqrt 15s^{3}) \times (2 \sqrt 75) $ We multiply the constants -6 and 2. We multiply the numbers inside the square root. $(-6)(2) (\sqrt (15s^{3} \times 75))$ $-12 \sqrt 1125s^{3}$ $1125s^{3}$ has the factors of $5s^{3} \times 225$. $-12 \sqrt (5s^{3} \times 225)$ 225 is a perfect square. Square root of 225 is 15. Because 15 x 15 = 225 $(-12)(15) \sqrt 5s^{3}$ $-180 \sqrt 5s^{3}$
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