I found an answer from www.quora.com

How to **prove** that \**pi**^**2** is **irrational** - Quora

This **proof** is an adaptation of Chapter 16 of Spivak's Calculus. To **prove** that \**pi**^**2** is **irrational**, we need to first introduce the function ...

For more information, see How to **prove** that \**pi**^**2** is **irrational** - Quora

I found an answer from en.wikipedia.org

**Proof that π** is **irrational** - Wikipedia

This **proof** uses the characterization of **π** as the smallest ... of the cosine function
and it actually proves that **π ^{2} is irrational**.

For more information, see **Proof that π** is **irrational** - Wikipedia

I found an answer from en.wikipedia.org

Square root of **2** - Wikipedia

The square root of **2**, or the (1/**2**)th power of **2**, written in mathematics as √**2** or **2**
^{1⁄2}, is the .... A short **proof** of the **irrationality** of √**2** can be obtained from the
rational root theorem, that is, if p(x) is a ...... √**2** appears in Viète's formula for **π**: **2**
m **2** ...

For more information, see Square root of **2** - Wikipedia

I found an answer from crypto.stanford.edu

**Pi** - **Proof that Pi** is **Irrational**

**Proof that Pi** is **Irrational**. Suppose **π**=a/b **π** = a / b . Define. f(x)=xn(a−bx)nn! f ( x )
= x n ( a − b x ) n n ! and. F(x)=f(x)−f(**2**)(x)+f(4)(x)−...+(−1)nf(**2**n)(x) F ( x ) = f ( x ) ...

For more information, see **Pi** - **Proof that Pi** is **Irrational**

I found an answer from math.stackexchange.com

Homework 8th grader: $\**pi**^**2$ is irrational** - Mathematics Stack ...

May 22, 2015 **...** comes from the Euler series acceleration method and it can be used to **prove** the
**irrationality** of **π 2** and even more, for instance providing a ...

For more information, see Homework 8th grader: $\**pi**^**2$ is irrational** - Mathematics Stack ...

I found an answer from www.quora.com

How do we know **Pi** and sqrt(**2) is irrational** and not just have ...

How do we know **Pi** and sqrt(**2) is irrational** and not just have EXTREMELY long
part ... We either **show** two integers whose ratio is equal to the given number or ...

For more information, see How do we know **Pi** and sqrt(**2) is irrational** and not just have ...

I found an answer from math.stackexchange.com

Is this a valid **proof** that e **π 2 is irrational**?

But **π 2** isn't a natural number, so that result doesn't apply. ... The answers to that
question only **show** that e n is **irrational** for any positive integer ...

For more information, see Is this a valid **proof** that e **π 2 is irrational**?