Question

How do you evaluate `3\sqrt{-4}\times 2\sqrt{24}`?

Answer 1

`24sqrt6i`

Explanation:

`3 * sqrt(-4) * 2 * sqrt(24)`

`3*2 = 6`

`sqrt(24) = sqrt6 * sqrt4 = 2sqrt6`

`sqrt(-4) = 2i`

`3 * 2 * i * 2 * 2 * sqrt6 = 24sqrt6i`, or `24isqrt6`