The product of three consecutive even numbers when divided by 8 is 720. The product of their square roots is :

Answer: Option B

Let the numbers be x, x + 2 and x + 4
Then,
$$\begin{array}{rl}& \iff \frac{x\left(x+2\right)\left(x+4\right)}{8}=720\\ & \iff x\left(x+2\right)\left(x+4\right)=5760\\ & \therefore \sqrt{x}\times \sqrt{\left(x+2\right)}\times \sqrt{\left(x+4\right)}\\ & =\sqrt{x\left(x+2\right)\left(x+4\right)}\\ & =\sqrt{5760}\\ & =24\sqrt{10}\end{array}$$