Math and Arithmetic

Numbers

Irrational Numbers

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

Every irrational number is a real number.

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

Irrational numbers are real numbers.

All real numbers are irrational. For example, Pi is an irrational number that is a real number. Other irrational numbers can be the square root of an imperfect square.

irrational number

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

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

The square root of 8 is irrational and real.

The set of real numbers is defined as the union of all rational and irrational numbers. Thus, the irrational numbers are a subset of the real numbers. Therefore, BY DEFINITION, every irrational number is a real number.

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

No, a real number could also be a rational number, an integer, a whole number, or a natural number. Irrational numbers fall into the same category of real numbers, but every real number is not an irrational number.

It's irrational/not a real number

No. The real number line corresponds to rational AND irrational numbers.

a real number is a number that can be rational or irrational

A real number dosen't have to be a rational number as a real number can be rational or irrational i.e the root of 2 is irrational and real. So is (pi).

There is no such 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.

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.

No it cannot. Irrational means "not rational".

Yes it will be. The set of real numbers can be divided into two distinct sets: rational and irrational. So if it is not rational, then it is irrational.

An irrational number is a real number that is not rational.

All numbers are real. A number being irrational just means that is does not have a definite end.

It is an integer. All integers are rational but not irrational. All rational and irrational numbers are real numbers.

real number

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