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Q: Is the square root of any real number always a real number?

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No, it is imaginary, since the square root of a negative number is always imaginary

The square root of a real number is not always positive. The square root of any positive number is positive, the square root of zero is zero (not positive), and the square root of a negative number is complex (i.e. neither positive nor negative). The square root of 16 = -4 or 4. The square root of 0 = 0 The square root of -16 = -4i or 4i

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.

You cannot get real square root of a negative number because two numbers multiplied by themselves are always positive You can always get a real cube root of a negative number because three negative numbers multiplied by themselves give a negative .

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.

When you multiply any number by itself, the result is always positive. You cannot take any real number and square it to get something negative. The square root of -36 is 6i.

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.

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.

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.

The square root of a negative number is not real.

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.

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