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All Irrational Numbers are Real numbers - it's part of the definition of an irrational number. Imaginary numbers are neither rational nor irrational.

An example of a number that is both Real and irrational is the square root of two.

Another example is the number pi.

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Q: What number is both real and irrational?
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Continue Learning about Algebra

Is an irrational number a real number?

An irrational number is any real number that cannot be expressed as a ratio of two integers.So yes, an irrational number IS a real number.There is also a set of numbers called transcendental numbers, which includes both real and complex/imaginary numbers. Of this set, all the real numbers are irrational numbers.


Can an irrational numbers be a real number?

yes. an irrational number is any real number that is not a rational number


What number is both rational and irrational?

None. A rational number is a number that can be written as the quotient of two integers where the divisor is not zero. An irrational number is a real number that cannot be written as the quotient of two integers where the divisor is not zero. Any given real number either can or cannot be written as the quotient of two integers. If it can, it is rational. If it cannot, it is irrational. You can't be both at the same time. The square root of -1 is not a real number and it cannot be written as the quotient of two integers, so it is neither rational nor irrational.


Can 5.85 be a irrational?

A rational number cannot also be irrational. A real number is either rational, or it is irrational.


How are rational and irrational numbers similar?

Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)