Multiply and then, if possible, simplify by factoring.
-$\sqrt{3 x} \sqrt{81 y}$
A) $81 \sqrt{x y}$
B) $9 x y$
C) $9 \sqrt{3 x y}$
D) $\sqrt{81 x y}$

Question

Quizplus · Accepted Answer

When multiplying square roots, you can multiply the numbers under the roots together: $\sqrt{3x} * \sqrt{81y} = \sqrt{3x * 81y}$. Simplifying inside the square root gives $\sqrt{243xy}$, which can be further simplified to $9\sqrt{3xy}$ because $243 = 9^2 * 3$.

Multiply and Then, If Possible, Simplify by Factoring 3x81y\sqrt{3 x} \sqrt{81 y}3x​81y​

Multiply and Then, If Possible, Simplify by Factoring $\sqrt{3 x} \sqrt{81 y}$