The Square Root of 2: How to Prove It Is Not Rational?


Take a square of side length 1 unit. What is it’s diagonal’s length? Ancient Greeks faced a problem with this length. They could not write this length/number as a ratio. Some, like Hippasus, though it is impossible to write that number in the rational form. This thought gave birth to the concept of ‘Irrationality of numbers’. We can say even ancient Indian mathematicians had thought about it. Euclid took a very bold step while proving the irrationality of the square root of 2. What did he do? Let’s see!

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