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Facts about Irrational Numbers

Real Number System I

Interesting Facts about Irrational Numbers

There are some cool and interesting facts about irrational numbers that make will make you deeply understand the why behind the what.

1. Accidental Invention of √2

Root 2 is an Irrational Number

The square root of 2 or √2 was the first invented irrational number when calculating the length of the isosceles triangle. He used the famous Pythagoras formula a2 = b2 + c2

AC2=AB2+BC2  AC2=12+1 AC = √ 2

Root 2 an irrational number on number Line

√2 lies between numbers 1 and 2 as the value is 1.41421… So he revealed that the length AC cannot be expressed in the form of fractions or integers.

2. The value of π

The value of π is approximately calculated to over 22 trillion digits without an end. A computer took about 105 days, with 24 hard drives, to calculate the value of pi.

3. Invention of Euler’s Number e

The Euler’s number is first introduced by Leonhard Euler, a Swiss mathematician in the year 1731. This ‘e’ is also called a Napier Number which is mostly used in logarithm and trigonometry.

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