There are no numbers that you can multiply by itself that would make a negative number.
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The square root of a negative number is not real.
No. In general, the square root of a negative number is an imaginary number, which is not a real number.
No, it is not, because real numbers include negative numbers. The square root of a negative number is an imaginary number
There is no real number [square] root of a negative number. There is a real cube root and a real fiftth root etc, but root, by itself, implies square root.
Yes. In general, the square root of any non-negative number is a real number.