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Irrational Numbers

An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. While their existence was once kept secret from the public for philosophical reasons, they are now well accepted, yet still surprisingly hard to prove on an individual basis. Please post all questions about irrational numbers, including the famous examples of π, e, and √2, into this category.

3,962 Questions

Is a reoccurring pattern in a decimal rational?

Yes.Any repeating set of decimals is rational, because it is possible (and very easy) to create any such pattern using fractions.

For example, to create the number 0.163163163163.... , it is represented as 163/999.

Is 3333333 rational or irrational?

3333333 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

What is the value of irrational numbers?

They are infinite because irrational numbers can not be expressed as fractions

What is meant by irrational?

Not being rational. Not thinking nor acting in a clearly logical and easy to follow manner. Not making any sense with your decisions on how to react the current problem at hand. Being impulsive.

Is 8.3856193 rational?

8.3856193 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Is 6.3478 a rational or irrational number?

Any number with a defined end-point, such as 6.3478, is, by definition, rational.

Is 328143. an irrational number?

No. 328143 is not an irrational number. It is a real, rational, whole, and natural number.

Is negative fractions rational or irrational?

Rational. Any number that is the ratio of two integers is by definition rational. For example, -2/3 is the ratio of -2 to 3.

Answer 1

irrational

Is the number 2 rational or irrational or both or neither?

Integers and fractions that have integers in the numerator and denominator are rational.

A number can't be rational and irrational at the same time - irrational means "not rational".

Can a number be a rational number and not be an integer?

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. All natural and whole numbers are rational.

Is -2pi rational or irrational?

-2π is an irrational number. While -2 is a rational number, π (pi) is known to be irrational, meaning it cannot be expressed as a fraction of two integers. The product of a nonzero rational number and an irrational number is always irrational, so -2π remains irrational.

Square root of 2?

Oh, dude, the square root of 2 is an irrational number, meaning it goes on forever without repeating. It's approximately 1.41421356... but like, who really needs to know all those extra digits, right? Just know it's a bit more than 1, and you're good to go.