Question

What is the square root of a negative number

Answer 1

It depends, but this is how I would do it:

Let's take the square root of -8 --> $\sqrt{-8}$

First, I would take out an "i" and put it outside of the square root:

$i\sqrt{8}$

The i represents the negative sign. Then, I would treat the square root of 8 as a normal problem and simplify by factoring it:

Factors of 8: 2,2,2

Because you're looking for a square root and you can "loop" two 2s together, you can take one set out:

$2i\sqrt{2}$ would be your final answer.

Hope I helped :)

Answer 2

Answer:

Negative numbers don't have real square roots since a square is either positive or 0.

Explanation:

Negative numbers don't have real square roots since a square is either positive or 0.