Yes
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No. In general, the square root of a negative number is an imaginary number, which is not a real number.
It is a negative integer, a negative rational integer, a negative real number.
No, it is not, because real numbers include negative numbers. The square root of a negative number is an imaginary number
A negative number times a negative number gives you a POSITIVE number, not a negative number.
The square roots of any positive real number are a positive and a negative real number. The square roots of any negative real number are a positive and a negative imaginary number. The square roots of any imaginary number or any complex number are two complex numbers.