How do you factor the square root of -108?

Answer 1

Before you try to factor that number, you have a couple of insurmountable

problems just finding it.

-- there is no such thing as the square root of a negative number, unless

you know how to work with 'i', the unit 'imaginary' number;

-- 108 is not a perfect square number, so it's not even possible to write its

exact square root.

About the best you can do is:

(6 i) x sqrt(3)

Answer 2

6i times the square root of 3