Random Math Fact

[cnoocy]

26/15 is a very good (off by less than 1/779) approximation for the square root of 3.
I have found this fact useful when doodling on graph paper during meetings, particularly when drawing a clock in a 10x10 square.
It has been said that I am very odd.

Comments

[kinkyturtle.livejournal.com]

It's probably not as useful with graph paper, but I discovered that sqrt(sqrt(2143/22)) is so close to pi it's off by only about a billionth.

[jdm314.livejournal.com]

How did you discover that one?

[kinkyturtle.livejournal.com]

I was playing around with a calculator. I hit the pi button, then the square button twice, and saw 97.409091. I thought, hey, that looks like a repeating decimal! So I worked out that if it were a repeating decimal, 97.4090909090909..., it would be equal to 2143/22. Then I worked out how close sqrt(sqrt(2143/22)) would be to pi, and... wow!