Answer
$30a^{4}$
Work Step by Step
We can simplify the expression as follows:
= $\sqrt 45a^{7}*\sqrt 20a$
= $\sqrt 5*\sqrt 9*\sqrt a^{6}\sqrt a*\sqrt 4*\sqrt 5*\sqrt a$
= $\sqrt 5*3*a^{3}*\sqrt a*2*\sqrt 5*\sqrt a$
= $5*3*a^{3}*a*2$
= $30a^{4}$.
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 10 - Radical Expressions and Equations - 10-2 Simplifying Radicals - Practice and Problem-Solving Exercises - Page 625: 76
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