Question

how do you solve root - 9/16 with imaginary numbers?

Answer 1

\[\sqrt{-9/16}\]

Answer 2

and another question what is root 6 / root 3?

Answer 3

\[\sqrt{\frac {-9}{16}} = \frac{3\sqrt{-1}}{4} = \frac {3i}{4}\]

Answer 4

root(6) = root(3) * root(2) so you can factor out the root 3

Answer 5

therefore root 6 / root 3 = root 2