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X is greater than 5. If X were equal to 5, X-5 would be 0 which has no real square root. If X were 4, X-5 would be -1 which has no real square root, and so on.

Q: The square root of X-5 is a real number if and only if?

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Of course, not only can it be a real number but it is a real number. When you take the square root times itself, the result is a number that is real.

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.

The square root of any positive real number (as in this case) is a real number. (Such square roots are usually irrational.)The square root of a negative real number, such as the square root of -15, is an imaginary, and therefore also a complex, number.

No. In general, the square root of a negative number is an imaginary number, which is not a real number.

The square root of a negative number is not real.

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Of course, not only can it be a real number but it is a real number. When you take the square root times itself, the result is a number that is real.

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.

The square root of seven is a real number, but it is not a whole number.

The square root of 0 is 0, which is a real number.

The square root of any positive real number (as in this case) is a real number. (Such square roots are usually irrational.)The square root of a negative real number, such as the square root of -15, is an imaginary, and therefore also a complex, number.

No. i = square root of -1, and therefore imaginary. Only by squaring i can you have a real number.

Yes, the square root of 3 is a real number. (It is not imaginary. The square root of a negative number is imaginary.) The square root of 3 is not a rational number. It cannot be written as a fraction.

Yes. It's 9. The square root of every positive real number is a real number.

No. In general, the square root of a negative number is an imaginary number, which is not a real number.

The square root of a negative number is not real.

Sometimes.The square root of a positive number is positive.The square root of zero is zero.The square root of a negative number is a complex number - if you want only real numbers, you can say that it is undefined, and many calculators will give you an error message.

Yes. In general, the square root of any non-negative number is a real number.