Question

π is an irrational number (True/False).

Answer 1

This statement is true.

Reason:

Rational number is one that can be expressed as the fraction of two integers. 

Rational numbers converted into decimal notation always repeat themselves somewhere in their digits. 

For example, 3 is a rational number as it can be written as `3/1` and in decimal notation it is expressed with an infinite amount of zeros to the right of the decimal point. `1/7` is also a rational number. Its decimal notation is 0.142857142857..., a repetition of six digits.

However, `sqrt2 ` cannot be written as the fraction of two integers and is therefore irrational.

Now,

`pi = 3.14159265358979323846264338327950288419716939937510..`

Thus, it is irrational.