Irrational Numbers

# Is every irrational number a real number and how?

###### Wiki User

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.

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## Related Questions

### Is every Real number an irrational number?

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.

### Is every irrrational number a real number?

Yes every irrational and rational number is a real number.

### Is every real number is rational?

No. Every real number is not a natural number. Real numbers are a collection of rational and irrational numbers.

### Is every irrational a real number. If Yes Why?

Yes irrational numbers are real numbers that are part of the number line,

### 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.

### Is every real number an rational number or irrational number?

Numbers are split into real and imaginary. Rational numbers are under the category: Real. Therefore all rational numbers are real. An irrational number is also real, but can not be expressed as a fraction.

### 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.

### 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.

### What real number is also irrational?

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.

### Is every real number also a rational number?

No. "Pi", "e", and the square root of 2 are all real and irrational.

### Can an irrational numbers be a real number?

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

### Is an irrational number plus an irrational number rational?

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

### Is a real number always irrational?

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

### Every real number is an irrational number?

No; most real numbers are rational, actually, except for some, most famously 'pi'.

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