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Q: Why is 39 an irrational number?

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yes it is.

that would would an irrational complex number. 6.245i

Yes. The square root of a positive integer can only be an integer (if your integer is a perfect square), or an irrational number (if it isn't).

39 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

39 is rational. Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction.

No. The sum of an irrational number and any other [real] number is irrational.

The sum of a rational and irrational number must be an irrational number.

rational * irrational = irrational.

No, 3.56 is not an irrational number. 3.56 is rational.

It is not an irrational number!

No. this is not a irrational number

A negative irrational number can be thought of as an irrational number multiplied by -1, or an irrational number with a minus sign in front of it.

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