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: 76

Answer

$30a^{4}$

Work Step by Step

$\sqrt 45 a^{7} \times \sqrt 20a$ We multiply the two square roots and bring them together under one square root $\sqrt (45 a^{7} \times 20a)$ We multiply the variables together and the numbers together $\sqrt (45\times 20 \times a^{7} \times a)$ $\sqrt (900 a^{8})$ ***Square root of 900 is 30 because 30 x 30 =900 ***Square root of $a^{8}$ is $a^{4}$ because $a^{4}$ x $a^{4}$ =$a^{8}$ $30a^{4}$
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