1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Algebreic expression

  1. Apr 14, 2009 #1
    %7D)%7D%7B%5Csqrt%7Ba%7D-%5Csqrt%7Bx%7D%7D%7D%7B(%5Csqrt%7Ba%7D%2B1)%5E3-a%5Csqrt%7Ba%7D%2B2%7D).jpg

    i can take this down to

    Bx%7D)%7D%7B(%5Csqrt%7Ba%7D-%5Csqrt%7Bx%7D)%5B(%5Csqrt%7Ba%7D%2B1)%5E3-a%5E%7B1%2F3%7D%2B2%5D%7D.jpg


    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Apr 14, 2009 #2
    So you are trying to simplify the expression, I take it?

    [tex]{(\sqrt{a} + 1)^2 - {a-\sqrt {ax} \over \sqrt a - \sqrt x} \over (\sqrt a + 1)^3 - a \sqrt a + 2} [/tex]

    = [tex]{(a + 2 \sqrt a + 1)(\sqrt a - \sqrt x) - (a - \sqrt {ax}) \over (\sqrt a - \sqrt x)((\sqrt a + 1)^3 - a \sqrt a + 2)} [/tex]

    = [tex]{a \sqrt a - a \sqrt x +2a - 2 \sqrt a \sqrt x + \sqrt a - \sqrt x - a + \sqrt{ax} \over (\sqrt a - \sqrt x)(a^{3 \over 2} + 3a + 3 \sqrt a + 1 - a^{3 \over 2} + 2)} [/tex]

    And then we group like terms and can cancel some things out

    =[tex] {a \sqrt a + a + \sqrt a - a \sqrt x - \sqrt{ax} - \sqrt x \over 3(a \sqrt a + a + \sqrt a - a \sqrt x - \sqrt a \sqrt x - \sqrt x} [/tex]

    = [tex] {1 \over 3} [/tex]
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Algebreic expression
  1. Algebric proofs (Replies: 1)

  2. Complex expressions (Replies: 6)

  3. Equivalent expression (Replies: 8)

Loading...