Can you take the square root of a negative number
Asked by admin @ in Mathematics viewed by 348 People
Why can't we take a square root of a negative number?
Answered by admin @
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.
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