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QUESTION

How do you find the square root of -300?

Basically, numbers under zero do not have a square root on the real numbers, but on the complex numbers, you can find one using the fact that ##i^2=-1##.

Depending on your level of studies, you might not know it yet.

A solution would be using

##i^2=-1## ##300i^2=-300## ##sqrt(300i^2) = sqrt(-300)## this line is totally incorrect, it is not allowed to write ##sqrt()## of a negative number in the real numbers ##isqrt(100*3)=sqrt(-300)## ##10isqrt(3)=sqrt(-300)##

so ##10isqrt(3)## would be your answer

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