Question

What is the negative square root of 585 simplified to?

Answer 1

you need the identity of

\[i^2 = -1\]

so you are now looking at

\[\sqrt{-585} = \sqrt{585i^2}\]

now to simplify 585 you have

585 = 9 times 65

so

\[\sqrt{-585} = \sqrt{9 \times 65 \times i^2} = 3i \sqrt{65}\]

hope it helps

Answer 2

how do you put that in standard form?