## Saturday, 3 November 2018

### Square root of 2, golden ratio, square root of 3, e and pi expressed as fractions

I tried looking these up online and nobody had a list, so I set up a spreadsheet.

Here are the most accurate fractions using three digit numbers:

Square root of 2 = 816/577
Golden ratio = 987/610
Square root of 3 = 989/571
e = 878/323
pi = 355/113

All part of the service.

Bayard said...

I was taught pi = 22/7. That was in the days before electronic calculators.

paulc156 said...

In the old testament they reckoned it as 3! You'd think God would know better.

B, 22/7 is pretty good.

PC, old testament is full of nonsense, like all religious tracts. But you can see why people would like pi to have been three, it would make life so much easier.

Ralph Musgrave said...

When it comes to numbers, I'm streets ahead of everyone else hereabouts...

When two black holes collided recently, they let out 36 septillion yottawatts of power - more than is emitted by all the stars in the universe. See:

https://www.sciencenewsforstudents.org/article/black-hole-smashup-sent-out-yottawatts-power

RM, sure, but do the streets on which you are ahead have a house number 13?