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Author Topic: Square Roots Help
BlackBlade
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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.

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Jeorge
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I think on the left that should be a mixed number: 12 and one-third.
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Mucus
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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

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The Rabbit
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The way you have it written it certainly isn't true.
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aspectre
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(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 ]

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aspectre
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ie Either you've worked the original equation wrong, or the "correct"answer is wrong.
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King of Men
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quote:
4 is not approximately 12.33
Well, it is, actually. But not for the tolerances you've got here, it's true.
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BlackBlade
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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

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aspectre
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(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

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theamazeeaz
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I would have just done 12+1/3
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BlackBlade
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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.
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The Rabbit
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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.

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Mucus
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Indeed.
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