W1_L9: Why is a number irrational - proof of sqrt2 & the story of hippasus

Transcript

When we looked at the different types of numbers, we started with the natural numbers, move to the integers, then to the rationals which are expressed as p by q. And then we argued that the rationals do not exhaust all the numbers that we need; and in particular, we claim that the square root of 2 cannot be expressed as a rational numbers, so it is... Read More