Answer
$\sqrt{35}+\sqrt{21}$
Work Step by Step
Using the Distributive Property and the properties of radicals, then,
\begin{array}{l}
\sqrt{7}\left( \sqrt{5}+\sqrt{3} \right)
\\=
\sqrt{7(5)}+\sqrt{7(3)}
\\=
\sqrt{35}+\sqrt{21}
.\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 439: 47
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