Answer
$-2\sqrt{3}$
Work Step by Step
Using the properties of radicals, then,
\begin{array}{l}
\sqrt{27}-\sqrt{75}
\\=
\sqrt{9\cdot3}-\sqrt{25\cdot3}
\\=
3\sqrt{3}-5\sqrt{3}
\\=
-2\sqrt{3}
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 7 - Section 7.4 - Adding, Subtracting, and Multiplying Radical Expressions - Exercise Set - Page 438: 2
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