Berkeley CSUA MOTD:Entry 52671
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2019/01/18 [General] UID:1000 Activity:popular
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 2009/3/3-5 [Computer/SW/Security, Computer/SW/Unix] UID:52671 Activity:high ```3/3/9 Happy Square Root Day \_ This morning some guy on KCBS AM 740 was playing with this and said something like "if you take the square root of every number, they don't look so big anymore. For example, next week the square root of my age is just 8. And the square root of the \$838 billion stimulus package is just \$29 billion." No wonder American kids rank last in math among industrialized countries. \_ i think the sqrt of his iq is also 8. \_ Dude needs to go back to school, and age 8 seems like a good time to learn about square roots. \_ Huh? I don't see anything wrong with his statement. \_ sqrt(838e9) is about 915423. \_ I guess. sqrt(838) =~ 29. (Billion dollars) is the units. Depends on how you look at it. \_ Right, but you need to square root the units too, just like sqrt(10000 m^2) = 100 m. The answer is the same whether you consider the units to be m^2 or (10000 m^2) or whatever. \_ I understand this, but what is the square root of "2 dollars"? This is like asking what is the square root of "2 cows". The original statement said "square root of every number" and not "square root of every quantity". You could argue (correctly) that 838,000,000,000 is a number in itself and its root is not 29,000,000,000, but what about "838 cows"? What is the square root of a cow? I think the key number is 838 and not 838*(units). You have to be pretty pedantical to not realize that. \_ If your units are billions of dollars than your square root units of ~ 31622 * \$^(1/2). sqrt (838) * sqrt (1,000,000,000) ~= 29 * 31622 ~= 915422 \_ 915422 *what*? Not dollars. \_ \$^(1/2) Which is 1/31622 of (Billion \$)^(1/2) \_ Exactly, which is nonsense. So ignore the units. \_ If you ignore the units you can turn it anything you want. Sqrt(\$838e9) = \$838e9 if my units are "\$838e9" and I've decided units are meaningless. \_ You have to use some common sense here. The square root of his age (64) is 8, not 8 (years)^1/2. \_ But by your logic we can make the units billions of years, and now the the square root of 64 is 252982. Better example: the square root of \$1 is 1 if you are ignoring units, but the square root of 100 pennies is 10! 100 pennies = 1 dollar so how can those two be different. \$1 = 100c sqrt(\$1) = sqrt(100c) 1 * \$^(1/2) = 10 * c^(1/2) The difference is in the units. 1 c^(1/2) is, by definition, 1/10th of 1 \$^(1/2). \_ But what is a sqrt(\$)? or a sqrt(cent)? \_ I guess you're right. Square rooting a number independently of its unit like this makes no sense, but it is what the original statement said, and really it doesn't sound like he was trying to make sense anyway. (FWIW, I think sqrt("2 cows") is meaningless too, unless you can come up with a meaning for 1.4 cow^(1/2).) \_ Depends on how good you are at math, actually.```
2019/01/18 [General] UID:1000 Activity:popular
 1/18

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