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What number is both real and irrational?

Updated: 4/28/2022
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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.


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.)


Can 5.85 be a irrational?

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

Related questions

Is a real number always irrational?

Real numbers can be rational or irrational because they both form the number line.


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.


What is an example of a real number that is also an irrational?

The square root of any positive, non-square number will be both real and irrational.


Is arrational number a real number?

Both rational and irrational numbers are real numbers.


Is three an irrational number rational number both rational and irrational or neither rational or irrational?

Integers are rational. In the set of real numbers, every number is either rational or irrational; a number can't be both or neither.


Are real numbers rational and irrational?

The set of real numbers is divided into rational and irrational numbers. The two subsets are disjoint and exhaustive. That is to say, there is no real number which is both rational and irrational. Also, any real number must be rational or irrational.


What is the similarity of rational and irrational number?

They are both Real numbers.


If a number is a real number then is it also an irrational number?

No. All irrational numbers are real, not all real numbers are irrational.


What standards separate a real number from an irrational number?

An irrational number is a real number.


What is a real number is also irrational number?

Every irrational number is a real number.


Can a real number that is not a rational number is a?

A real number which is not a rational number is an irrational number.


Is an irrational number cannot be a real number?

Irrational numbers are real numbers.