Question

When simplified, what is the value of the square root of -48, if i to the power of 2= -1?

Answer 1

±4sqrt(3) i

Explanation:

sqrt( -48)

We know the sqrt(ab) = sqrt(a) sqrt(b)

sqrt(-1) sqrt(48)

We can use this again

±sqrt(-1) sqrt(16)sqrt(3)

The sqrt(-1) = i

±i (4) sqrt(3)

±4sqrt(3) i