For Toppers (it is extremely difficult)

Using "school level" mathematics prove that $π \approx 3.1415926535$ ... is irrational.

#Difficult #Toppers #Prove

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Comments

The solution is very long , you need to use calculus to prove that pi is irrational this Video prove that in the same way i proved it.

Abdulrahman El Shafei - 6 years, 6 months ago

This is the paper which shows how to use elementary calculus to show that $\pi$ is irrational. The sequence of steps is quite short.

I was (and still am) very impressed by it. It is not obvious to me why the construction of $f(x)$ works.

Calvin Lin Staff - 6 years, 6 months ago

The easiest answer to this is

Keep on dividing pi until you get tired. Then you will automatically get introduced to the fact that pi is irrational. This was using "School level mathematics"

You're welcome in advance

Mehul Arora - 6 years, 6 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$