Math Quizzine
Okay folks, here's the first (and maybe last) in my series of math quizzines. I will make up a problem, and you solve it. I'll start with an easy one:
What number is twice as big as (half of its square root) cubed. Parenthesis added to show the order of operations.
Please show your work.
What number is twice as big as (half of its square root) cubed. Parenthesis added to show the order of operations.
Please show your work.
posted by dewdew @ 5/10/2005 03:25:00 PM
5 Comments:
At May 10, 2005 5:26 PM,
Grend31 said…
Holy crap am I bad with the math.
I just spend about half an hour doodling trying to figure this out.
And I can't!
I know I'm looking at something like:
_ 3
2N=(|N)
(2)
And I know it's a good idea to try to get a number on one side of the equation, but dividing by N seems like a really bad idea.
At May 10, 2005 5:27 PM,
Grend31 said…
oooo.. holy crap blogger messed that up... move the _ 3 over on top the (|N) and the (2) under the same.
At May 10, 2005 8:50 PM,
MooCow said…
16...
square root = 4
half of that = 2
2 cubed = 8
8 x 2 = 16
What do I win?
At May 11, 2005 8:16 AM,
Grend31 said…
You win a big wet sloppy one from me.
At May 11, 2005 10:03 AM,
dewdew said…
Correct, MooCow. And that WAS the prize... a big sloppy wet one from Grend31. (If he wins, he has to do himself)
Here's the proof (or my version at least):
X = 2 (√X/2)^3
X/2 = (√X/2)^3
X/2 = (√X)^3/(2)^3
X = (√X)^3/4
4 = (√X)^3/X
4 = (√X)^3/(√X)^2
4 = √X
or
X = 16
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