Question

Express the radical using the imaginary unit, i sqrt{-27}

Answer 1

Explanation:

i
`i √(-27) =i√(-1 * 27) =i√(27i^2) =i * i√(27) =i^2√(9 * 3) \\=-1* 3√(3) \\=-3√(3)`

Answer 2

27i

Explanation:

Since we define i as
`√(-1)`,
`√(-27) = 27i`