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

A. $12 \sqrt{10}$

B. $24 \sqrt{10}$

C. 120

D. None of these

Solution:

Let the numbers be x, x + 2 and x + 4
Then,

\begin{aligned} \Leftrightarrow \frac{x (x + 2) (x + 4)}{8} = 720 \\ \Leftrightarrow x (x + 2) (x + 4) = 5760 \\ ∴ \sqrt{x} \times \sqrt{(x + 2)} \times \sqrt{(x + 4)} \\ = \sqrt{x (x + 2) (x + 4)} \\ = \sqrt{5760} \\ = 24 \sqrt{10} \end{aligned}

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