Verified answer

The former generates a real answer, whereas the latter is imaginary.

The negative outside the radicand simply means negative of the output which in this case translates to -6.

The negative inside the radicand implies we are dealing with imaginary numbers in this case 6i.

√(-36) is not possible. you can't take a square root of a negative number because a number multiplied by itself is never negative (unless you're doing the imaginary number, i).

-√(36) is actually -1(√(36)), negative 1 times the square root of 36, which is perfectly fine.

-√(36) is a real number. it's -6

√(-36) is an imaginary number its 6√(-1) or 6i

there is no number multiplied by itself that is a negative number

so a negative number has no real square root.

6 and imaginary number