Is π rational or irrational number?

Introduction:

π is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. It is one of the most important and well-known mathematical constants, and it has fascinated mathematicians for centuries. One of the most interesting things about π is that it is an irrational number, which means that it cannot be expressed as a simple fraction.

Explanation:

To understand why π is an irrational number, we need to understand what rational and irrational numbers are.

- Rational numbers are numbers that can be expressed as a simple fraction, such as 2/3 or 5/7.
- Irrational numbers are numbers that cannot be expressed as a simple fraction, such as the square root of 2 or π.

The proof that π is irrational was first discovered by the ancient Greek mathematician Hippasus, who was a member of the Pythagorean school of mathematics.

Hippasus discovered that if you assume that π is a rational number, then you can derive a contradiction. He did this by assuming that π can be expressed as a simple fraction, and using some clever mathematical techniques, he showed that this assumption leads to a contradiction.

This proof is known as the "proof by contradiction," and it is still considered one of the most elegant and important proofs in the history of mathematics.

Conclusion:

In conclusion, π is an irrational number, which means that it cannot be expressed as a simple fraction. This fact has fascinated and challenged mathematicians for centuries, and it is still an important and interesting topic in mathematics today.

Πpie is a irrational number the value of π is 3.142857142857..soo on or 22/7