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Q: Is the root of 25 a real number?

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no. is not a real 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.

the square root of 25 is 5

The square root of 8 over 25 is irrational, and real.

You can't take the square root of a negative number. The square root of -25 is 5i. It's an imaginary number.

If by "radical" you mean "square root of", then yes. Both square roots of 25 are real numbers.

Because the square root of -25 would be that number that, squared, would equal -25. No number, positive or negative, can result in a negative square. Since -25 is a negative number, no number, positive or negative, can be squared to equal -25.

The principal root of a number is the positive real square root of the number - if it exists. Since -25 is negative, it does not have a real square root. Its square roots are the imaginary numbers +/-5i where i is the [imaginary] square root of -1. i is neither positive nor negative and so neither +5i nor -5i is a principal root.

The square root of 25 is 5 ... rational.

Any odd root, for example the cube root, of -3.24 is a real number.

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 seven is a real number, but it is not a whole number.

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