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# Irrational Numbers

Consider the value of $\pi$. The Value of $\pi$ = 3.145926535897932384626433882795.... and so on. Here we could observe that the Decimal Place value of $\pi$ is not repeating. Similarly many kind of numbers are there in maths which are not repeating. These are called irrational numbers.

The decimal Real Numbers which are not Rational Numbers are called Irrational Numbers as these numbers are not expressed in the fractional form.

## Irrational number definition:

Irrational numbers is defined as the number which cannot be expressed in the form $\frac{p}{q}$, where p and q are integers and q $neq$ 0.

Example:

1. The best example is value of $\pi$ is solved to over one million decimal places and still there is no pattern found.
2. Square root of every non perfect Square is an irrational number and similarly, a Cube root of non-perfect cube is also an example of the irrational number.

When we multiply any two irrational Numbers and the result is rational number, then each of these irrational numbers is called rationalizing factor of the other one.

## Irrational Function

As far our knowledge of irrational Functions is concerned we don’t have any defined definition of these functions we can only quote that if any function is resulting in an irrational number then it can be considered as irrational function. This term is not used commonly.

Examples of Irrational Numbers are: √2, pi, √1.5

We can also say that Rational Funct...Read More

## What are Irrational Numbers

Irrational numbers are the numbers which are not rational. In other words we can say that any number that cannot be expressed in the form of $\frac{p}{q}$ are termed as Irrational Numbers. If any floating Point number (that is  a number that has an Integer part as well as an decimal part is termed as floating point number) cannot be expressed as the Ratio o...Read More