98 and Grafting Numbers - Numberphile
Square roots, strange patterns and a mysterious constant - what are Matt's "grafting numbers" all about? And why is computer programming like skydiving? More links & stuff in full description...
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MATT PARKER: I'd like to talk to you about the number 98. 98 is a bit large for people to think it's quite a cool number. However, if you take the square root of 98, it equals 9.89949. What I like is that the first two digits are the same as the digits in the number you were taking the square root. This works for other numbers. If you take the square root of 99, it equals 9.94999. Starts with 99. And when I saw this, I saw 98 first. I thought, wait a minute, I wonder if there are other bigger ones. And it turns out there are. If you take the square root of 9998, that equals 99.98999. And there's your 9998. And all these numbers-- and you can keep going. 9999, if you square root 9999, it starts 99.99. And there's other stuff going...
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MATT PARKER: I'd like to talk to you about the number 98. 98 is a bit large for people to think it's quite a cool number. However, if you take the square root of 98, it equals 9.89949. What I like is that the first two digits are the same as the digits in the number you were taking the square root. This works for other numbers. If you take the square root of 99, it equals 9.94999. Starts with 99. And when I saw this, I saw 98 first. I thought, wait a minute, I wonder if there are other bigger ones. And it turns out there are. If you take the square root of 9998, that equals 99.98999. And there's your 9998. And all these numbers-- and you can keep going. 9999, if you square root 9999, it starts 99.99. And there's other stuff going...
