Question

What is equivalent to the square root of -27?

Answer 1

`sqrt(-27) = 3sqrt(3)i`

Explanation:

`sqrt(-27) = sqrt(27)*sqrt(-1)`

`color(white)("XXXX")` `= sqrt(3*3*3)*sqrt(-1)`

`color(white)("XXXX")` `=3sqrt(3)*sqrt(-1)`

`color(white)("XXXX")` `=3sqrt(3)i`