Question

Simplify square root of negative 72.

negative 6 square root of 2
6 square root of negative 2
6 square root of 2 i
6 i square root of 2

Answer 1

\[\sqrt{-72} = \sqrt{-1}\sqrt{72} \qquad i=\sqrt{-1} \]

Answer 2

so what are the factors of 72?

Answer 3

\[\sqrt{-72}\]
This is the same as i\[\sqrt{72}\]

72 is not a perfect square root.

i\[\sqrt{3*3*2*2*2}\]