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# Can all real numbers be irrational?

Updated: 4/28/2022

Wiki User

7y ago

Irrational Numbers are real numbers because they are part of the number line.

Wiki User

7y ago

Wiki User

7y ago

No. Rational numbers are real as well. Although, there are infinitely more irrational numbers than there are rationals.

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Q: Can all real numbers be irrational?
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Related questions

### 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.

### Are all irrational numbers real number?

All irrational numbers are real, but not all real numbers are irrational.

### All rational and irrational numbers are?

All rational and irrational numbers are real numbers.

### Is this ture that all irrational numbers are real numbers?

Ye it is true that all irrational numbers are real numbers that can't be expressed as fractions.

### Are all unreal numbers irrational?

No. Irrational numbers form a proper subset of real numbers. That means that all irrationals are real so non-reals cannot be irrational.

### Why does a real number have to be rational or irrational?

Because irrational numbers are defined as all real numbers which are not rational.

### Is every irrational number a real number and how?

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.

### Is the number 3 an integer rational irrational or a real number?

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

### How are rational and irrational numbers alike?

Both irrational and rational are real. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Yes.

### 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 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.