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Square of a negative number?

User Guiseppe
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If we find the square of a negative number, say -x, where x > 0, then (-x) × (-x) = x 2. Here, x 2 > 0. Therefore, the square of a negative number is always positive.

User Breffny
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The answer is:

below

Work/explanation:

The square of a negative number is always a positive number :


\sf{(-a)^2 = b}

where b = the square of -a

The thing is, the square of a positive number is equal to the square of the same negative number :


\rhd\phantom{333} \sf{a^2 = (-a)^2}

So if we take the square root of a number, let's say the number is 49 - we will end up with two solutions :

7, and -7

This was it.

Therefore, this is the answer.

User Pratik Gadoya
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