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Homework Help: Prove sq root of 2 + sq root of 3 is irrational

  1. Apr 7, 2009 #1
    hi,i read the post of sq root of 2 + sq root of 3.i understand tat i should use contradiction to solve it.yet,i stuck halfway when i tried to solve it.
    sq root 2 + sq root 3 = p/q
    2 + 2*sq root 6 +3=p^2/q^2
    5+2*sq root 6 = p^2/q^2
    wat should i do after this?i hav to prove that the addition of a raitonal and irrational number is irrational?
  2. jcsd
  3. Apr 7, 2009 #2

    matt grime

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    Science Advisor
    Homework Helper

    Rearrange, and you see that you have to show that sqrt(6) is rational: rational plus rational is rational

    See above.
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