Results 1 to 2 of 2

Math Help - How do you rationalise when you have 3 surds in the denominator?

  1. #1
    Newbie
    Joined
    Mar 2011
    Posts
    5

    How do you rationalise when you have 3 surds in the denominator?

    Can someone show me exactly step by step how to rationalise the denominator in this question?

    \frac{1}{\sqrt{2} + \sqrt{3} + \sqrt{5}}
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,830
    Thanks
    123
    Quote Originally Posted by MingMing View Post
    Can someone show me exactly step by step how to rationalise the denominator in this question?

    \frac{1}{\sqrt{2} + \sqrt{3} + \sqrt{5}}
    You have to doe this question in (at least) 2 steps:

    \dfrac{1}{\sqrt{2} + \sqrt{3} + \sqrt{5}}\cdot \dfrac{(\sqrt{2} + \sqrt{3})- \sqrt{5}}{(\sqrt{2} + \sqrt{3})- \sqrt{5}}=\dfrac{\sqrt{2} + \sqrt{3} - \sqrt{5}}{2\sqrt{6}}

    I'll leave the 2nd step for you.
    Last edited by earboth; March 25th 2011 at 12:28 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. rationalise the denominator
    Posted in the Algebra Forum
    Replies: 3
    Last Post: December 19th 2010, 05:24 AM
  2. [SOLVED] Rationalise Denominator
    Posted in the Algebra Forum
    Replies: 8
    Last Post: September 11th 2010, 03:35 PM
  3. [SOLVED] Fractions with surds in the denominator
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: March 16th 2009, 11:11 PM
  4. Replies: 3
    Last Post: February 15th 2009, 11:41 PM
  5. Rationalise the denominator and simplify
    Posted in the Algebra Forum
    Replies: 6
    Last Post: December 26th 2008, 11:32 PM

Search Tags


/mathhelpforum @mathhelpforum