It is based on definition that you have to accept...which is:
i = the square root of -1
So, if you were to square i then you would get -1.
Hope that helped.
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If I understand the question correctly, the answer is not in real numbers. But in the complex domain, there is the imaginary number i is such that i2 = -1. And so, for any positive x, [i*sqrt(x)]2 = i2*x = -1*x = -x, which is negative.
Because the square root of -25 would be that number that, squared, would equal -25. No number, positive or negative, can result in a negative square. Since -25 is a negative number, no number, positive or negative, can be squared to equal -25.
Because it's not. However, if you were to take the square root of -16, the answer would be 4i, which is an imaginary number, considered imaginary because multiplication of a real number by itself cannot equal a negative number.
It's equal to positive b squared, or (b x b) .
No - a square root of a negative number is an imaginary number. for example, sqrt(-9) is equal to 3i.