Question

precal question

Answer 1

square root of a negative number is not real.

Answer 2

so it would qualify under imaginary and irrational numbers?

Answer 3

@phi

Answer 4

you would get \[ \pm 4 i\]
where \(i = \sqrt{-1} \)
that is imaginary, and rational.
(usually roots give irrational numbers, except for "perfect squares" , like here)