Question

Simplify the number using the imaginary unit i.

−144‾‾‾‾‾√

Answer 1

Assuming you mean sqrt(-144, we can use some properties of square roots to figure this out. sqrt(x*y) = sqrt(x) * sqrt(y)

We have sqrt(-1*144) = sqrt(-1) * sqrt(144). That would be i * 12, which is 12i.

Answer 2

12i

Explanation:

The square root of 144 is 12 but the square root of a negative number results to an i after the real number.