Multiply and then, if possible, simplify by factoring.
-$\sqrt{2 x^{4}} \sqrt{14 x^{6}}$
A) $2 \sqrt{7 x^{10}}$
B) $2 x^{10} \sqrt{7}$
C) $4 x^{5} \sqrt{7}$
D) $2 x^{5} \sqrt{7}$

Question

Quizplus · Accepted Answer

When multiplying square roots, you can multiply the radicands (the expressions inside the square roots) together: $\sqrt{2x^4} * \sqrt{14x^6} = \sqrt{2*14*x^4*x^6} = \sqrt{28x^{10}}$. This simplifies to $\sqrt{4*7*x^{10}} = 2x^5\sqrt{7}$, because $x^{10}$ can be factored out as $x^5$ squared, and 4 is a perfect square.

Multiply and Then, If Possible, Simplify by Factoring 2x414x6\sqrt{2 x^{4}} \sqrt{14 x^{6}}2x4​14x6​

Multiply and Then, If Possible, Simplify by Factoring $\sqrt{2 x^{4}} \sqrt{14 x^{6}}$