Question

What is the square root of -23?

Answer 1

that will be an imaginary number because it's not possible to have negative square roots.

Answer 2

Have you learned imaginary numbers?

Answer 3

No I haven't. I have to find the principal square root & the negative square root. Also I must determine if it is rational and/or a perfect square.

Answer 4

If so, then
\( \sqrt{-23} = \sqrt{-1 \times 23} = \sqrt{-1}\sqrt{23} = i\sqrt{23} \)

Answer 5

If you haven't learned imaginary numbers, then the answer is that -23 has no square root.

Answer 6

So, it is undefined?

Answer 7

Yes.

Answer 8

What about for -36? @mathstudent55