Simplify the given expression.

Question

anonymous · Answer

$$\sqrt{-6} \times \sqrt{-18}$$

kamille · Answer

well, it confuses me a bit. Is it possible that 

$$\sqrt{-6}$$ isn't even possible

kamille · Answer

You know, if you have

$$\sqrt{a}$$ and $$\sqrt{b}$$
you will get
$$\sqrt{a}*\sqrt{b}=\sqrt{ab}$$
But I am not sure if it can be -6 ...

kamille · Answer

@hartnn can you explain it?

hartnn · Answer

@franknbeans , this belongs to topic complex numbers , right ?

kamille · Answer

are you learning complex numbers at school?

hartnn · Answer

$\sqrt{a}*\sqrt{b}=\sqrt{ab}$
thiis is true if and only if , a and b are positive numbers or 0

kamille · Answer

@franknbeans are you still here?

hartnn · Answer

for, $\sqrt{-a}.\sqrt{-b}=\sqrt{-1}\sqrt{a}\sqrt{-1}\sqrt{b}=i\sqrt{a}i\sqrt{b}=i^2\sqrt{ab}$
since, $i=\sqrt{-1}, i^2=-1$
$\sqrt{-a}.\sqrt{-b}=-\sqrt{ab}$

anonymous · Answer

Hey sorry everyone. I appreciate the help, I crashed after this because I was up all night working. Thanks again. :)