Question

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

• A. 12$\sqrt{1}0$
• B. 24$\sqrt{1}0$
• C. 120
• D. None of these

Answer 1

The correct option is B 24$\sqrt{1}0$

Let the number be $x,x+2$ and $x+4$

$\frac{x(x+2)(x+4)}{8}=720\Rightarrow x(x+2)(x+4)=5760$

$\Rightarrow \sqrt{x}.\sqrt{x+2}\sqrt{x+4}=\sqrt{5760}$

$\therefore \sqrt{x(x+2)(x+4)}=24\sqrt{10}$

$\therefore$ product of their square root is $24\sqrt{10}$