Answer
$\color{blue}{-\dfrac{4}{7}}$
Work Step by Step
Since $\dfrac{16}{49} = \left(\dfrac{4}{7}\right)^2$, the given expression simplifies to:
$=-\sqrt{\left(\dfrac{4}{7}\right)^2}
\\=\color{blue}{-\dfrac{4}{7}}$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter R - Review of Basic Concepts - R.7 Radical Expressions - R.7 Exercises - Page 75: 50
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