I know it's weird that the last thread I created was another help thread, but this one is far more simple. I've worked a problem through but I can't make the final jump between converting it into a fraction and it matching the right answer. Here is the problem.
(12*1/3)√3 = (37√3)/3
Or (twelve * one third )* square root of 3 equals (37*square root of 3) over 3.
I've worked out the left hand side of the equation to my satisfaction but when I see the leap to the right side I miss something.
This is driving me insane, I just keep staring at it.
Posted by Jeorge (Member # 11524) on :
I think on the left that should be a mixed number: 12 and one-third.
Posted by Mucus (Member # 9735) on :
Yeah. Factor out the sqrt(3). The only difference between the right and the left is the conversion between 37/3 to 12 + 1/3
Posted by The Rabbit (Member # 671) on :
The way you have it written it certainly isn't true.
Posted by aspectre (Member # 2222) on :
(12 times 1/3) times √3 = 4 times √3 (37 times √3) divided by 3 = 37 times √3 divided by 3 = (37 divided 3) times √3 = ~12.33 times √3
~ means approximately. 4 is not approximately 12.33
[ April 02, 2008, 04:56 PM: Message edited by: aspectre ]
Posted by aspectre (Member # 2222) on :
ie Either you've worked the original equation wrong, or the "correct"answer is wrong.
Posted by King of Men (Member # 6684) on :
quote:4 is not approximately 12.33
Well, it is, actually. But not for the tolerances you've got here, it's true.
Posted by BlackBlade (Member # 8376) on :
Thanks folks, I couldn't write it out precisely as it showed on screen, and if there is a way to type it out properly, I've never learned how to do it.
But it turns out it was pretty easy, I was thinking about it far too much.
(12*1/3)= 37/3 Multiply that by √3 and you have 37√3/3
Posted by aspectre (Member # 2222) on :
(12 1/3) = 37/3 ... "twelve and one third" with the blank space implying and
(12*1/3) = 4 ... * is the standard symbol for multiplied by ... / is the standard symbol for divided by
The ^ is the standard symbol for to the power of, eg : 10^2 is "ten squared" , 10^3 is "ten cubed" , 10^4 is "ten to the fourth power" ; 10^-1 is "one divided by ten" or "one tenth" , 10^-3 is "one divided by ten cubed" or "one thousandth" ; 10^0.5 or 10^(1/2) is "square root of ten" , 10^(1/3) is "cube root of ten" .
Always put a fractional powers in parentheses (or brackets): 10^2/3 is "ten squared divided by 3" or "one hundred divided by three " or ~33.3 whereas 10^(2/3) is "cube root of ten squared" or "cube root of one hundred" or ~4.64
Posted by theamazeeaz (Member # 6970) on :
I would have just done 12+1/3
Posted by BlackBlade (Member # 8376) on :
quote:Originally posted by theamazeeaz: I would have just done 12+1/3
I don't see how that was a viable answer. I'm multiplying 12 by 1/3rd and then that by the square root of 3.
Posted by The Rabbit (Member # 671) on :
quote:Originally posted by BlackBlade:
quote:Originally posted by theamazeeaz: I would have just done 12+1/3
I don't see how that was a viable answer. I'm multiplying 12 by 1/3rd and then that by the square root of 3.
If this is truly what you were doing, then the original equation is in error.
12*(1/3) = 12/3 (communtative property of multiplication and division plus identity function)
37√3/3 = (37/3)√3 (commutative property of multiplication)
ergo your original statement is equivalent to
(12/3)√3 = (37/3)√3 or
12 = 37, which I think we can all agree is not true.
If you the original problem were (12+1/3)√3 = 37√3/3, then it would be true.
Posted by Mucus (Member # 9735) on :