Answer
$-\sqrt14$
Work Step by Step
$\sqrt(-2)\times\sqrt(-7)=\sqrt(-1\times-1\times2\times7)=\sqrt -1\times\sqrt-1\times\sqrt14=i\times i\times\sqrt14=i^{2}\sqrt14=-\sqrt14$
We know that $\sqrt -1=i$ and that $i^{2}=-1$.
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 7 - Section 7.7 - Complex Numbers - Exercise Set - Page 463: 17
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