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If you have not studied complex numbers, then the answer is as follows:

The rules of multiplication for real numbers are that

a positive times a positive is a positive, and

a negative times a negative is a negative.

[Also, 0 times 0 is 0].

The upshot of all that is the square is never negative. And so, the answer is that there is no real number whose square is -62.

If you have studied complex numbers then you should not be asking such basic questions! Still, the square roots of -62 are the complex pair ±7.874i where i is the imaginary square root of -1.

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Q: What is the square root of negative 62?
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