Evaluate the radical expression and express the result in the form a + bi. (Simplify your answer completely.)

Question

√-6√-24

Answer 1

Julianne,

This problem starts with the knowledge the i = √-1. Then if we square the right side, we get i² = -1

The problem:

(√-6)(√-24) = (√-1)(√6)(√-1)(√24), rearranging we get :

(√-1)(√-1)(√6)(√24), then multiplying we get:

-1(√6x24) = -1√144 = -12, the answer

Answer 2

If the problem is Sqrt(-6)*Sqrt(-24) This simplifies to i*Sqrt(6)*i*Sqrt(24) = -Sqrt(6)*Sqrt(24)

= -Sqrt(6)*2*Sqrt(6) = -2*6 = -12

or in complex form = -12 + 0i