Step 1 :The square root of a negative number is not a real number, but it can be expressed as a complex number. The square root of -1 is represented as 'i' in complex numbers.
Step 2 :So, the square root of -12 can be written as the square root of 12 times the square root of -1, which is 'i'.
Step 3 :The square root of 12 can be simplified further by factoring it into 4 and 3, where the square root of 4 is 2.
Step 4 :So, the square root of -12 is 2 times the square root of 3 times 'i'.
Step 5 :Final Answer: \(\sqrt{-12} = \boxed{2\sqrt{3}i}\)