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Surd simplification

  1. Jan 31, 2005 #1
    p = root 2 q = root 3
    (root 18 + root 12) / (root 8 - root 96) , write this in terms of p and q in its simplest form. I keep getting the wrong answer, please help! :confused:
     
  2. jcsd
  3. Jan 31, 2005 #2
    Post your working, so people can show you where you've gone wrong.
     
  4. Jan 31, 2005 #3

    dextercioby

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    Do you know how to decompose natural numbers into prime factors...??

    Daniel.
     
  5. Jan 31, 2005 #4
    yes, but i dont end up with the answer i was meant to!
     
  6. Jan 31, 2005 #5

    dextercioby

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    Why not???
    [tex] \sqrt{18}=3\sqrt{2}=3p[/tex]

    Can u handle the other ones...?

    Daniel.
     
  7. Jan 31, 2005 #6
    [tex]p = \sqrt{2}[/tex] , [tex]q = \sqrt{3}[/tex]

    [tex]\frac{(\sqrt{18} + \sqrt{12})}{(\sqrt{8} - \sqrt{96})}[/tex]

    Personally I just try to make the numbers with the smallest number of terms possible.

    E.g. [tex]\sqrt{18} = \sqrt{3 \times 3 \times 2} = pqq[/tex] or [tex]p2q[/tex] or [tex]\sqrt{18} = 3 \sqrt{2} = 3p[/tex]

    The Bob (2004 ©)
     
    Last edited: Jan 31, 2005
  8. Jan 31, 2005 #7

    HallsofIvy

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    You have twice said you "keep getting the wrong answer". Tell us what wrong answers you get and how you are trying to do the problem!
     
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