π is an irrational number (True/False).

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.

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now