Question:
π is an irrational number (True/False).
Solution:
Here $\pi$ is an irrational number
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 $\sqrt{2}$ cannot be written as the fraction of two integers and is therefore irrational.
Now,
$\pi=3.14159265358979323846264338327950288419716939937510 \ldots$
Thus, it is irrational.