General · 12. September 2020
If one thinks about it, one will realize that there are some fractions which are really close to the square root of 2. Rational numbers are numbers that can be expressed as a fraction. Irrationals are the opposite. They are numbers that are not fractions. Why is the square root of 2 irrational? First, one should compare the square root of 2 to a number very close to it. More specifically, 665 857/470 832, which is off by 10-12. There are definitely better estimates. For example, 4 946 041 176...