Question

$\sqrt{-3}\sqrt{-6}$ is equal to

• A. $3\sqrt{2}$
• B. $-3\sqrt{2}$
• C. $3\sqrt{2}i$
• D. $-3\sqrt{2}i$

Answer 1

Answer: (B)

$\sqrt{-3}=i\sqrt{3}$,
$\sqrt{-6}=i\sqrt{6}$
So, $\sqrt{\left(-3\right)}\sqrt{\left(-6\right)}$
$=i^{2}3\sqrt{2}$
$=-3\sqrt{2}$