Question

Simplify the following square root expression.

Answer 1

\[\left(\begin{matrix}\sqrt{-72} \\ 5i \sqrt{-2}\end{matrix}\right)\]

Answer 2

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

Answer 3

Is that a fraction? with\[\sqrt{-72}\] the numerator and \[5i \sqrt{-2}\] the dnominator

Answer 4

If so:\[\sqrt{-72}\over5i \sqrt{-2}\]\[\sqrt{(36)(-2)}\over5i \sqrt{-2}\]\[6\sqrt{-2}\over5i \sqrt{-2}\]\[6\over5i\]\[6 (5i)\over5i (5i)\]\[30i \over25i ^{2}\]\[30i \over -25\]\[6i \over -5\]