Answer
-40/27
Work Step by Step
When we take the square root of a fraction, we take the square root of the numerator and of the denominator, allowing us to obtain:
$ -4 \sqrt {100/729} =-4 \sqrt{100}/ \sqrt{729}= -4 \times 10/27=-40/27$
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 623: 38
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