Oh honey, it's simple math. When you square a negative number, you're just multiplying it by itself. So if you square -5, you get 25. It's like taking a negative and turning it into a positive with a little math magic.
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Say your question is -62 squared what it means is -62 x -62 when you times two negatives you get a positive so your answer in this case would be 3844
It is positive.
The square root of any negative number is not even a 'real' number. It's called 'imaginary', because there's no number you can multiply by itself to get a negative number. The square root of 101 is irrational.
The square of a negative number is always positive. The square of -8 = 64, a rational number
The square of a positive number is positive. By the way, the square of a negative number is also positive.
The square root of negative 64 isn't even a real number. In math and engineering, it's called an "imaginary number".