#### Question:

Why can't we take a square root of a negative number?

Posted By Admin @ September 03, 2022

Why can't we take a square root of a negative number?

We can't take a square root of a negative number because whenever you multiply any number by itself, whether it is positive or negative, you will always get a positive number.

e.g.

2 * 2 = +4

(-3) * (-3) = +9

So if you try to take a square root of a negative number, you will come to a problem as there are not any number when you multiply it by itself you will get a negative answer.

Because of that we invented imaginary numbers where i = sqrt(-1) so we could factor out the negative and continue on with our work.

e.g.

2 * 2 = +4

(-3) * (-3) = +9

So if you try to take a square root of a negative number, you will come to a problem as there are not any number when you multiply it by itself you will get a negative answer.

Because of that we invented imaginary numbers where i = sqrt(-1) so we could factor out the negative and continue on with our work.

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