Results 1 to 4 of 4

Math Help - Simplifying fractions with surds.

  1. #1
    Member
    Joined
    Jul 2010
    Posts
    86

    Simplifying fractions with surds.

    Im doing my homework questions when i began to noticed my answers were different then those in the solutions book. I then realized that theysimplified it but i have no idea how it was done.

    for example :

    2/ Sqrt54 = sqrt6/9

    How did they simplify 2/sqrt54 to sqrt6/9 and how do you know when to simplify further??
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Unknown008's Avatar
    Joined
    May 2010
    From
    Mauritius
    Posts
    1,260
    You can do like this:

    \dfrac{2}{\sqrt{54}}

    What is 54? 6 x 9, right?

    \dfrac{2}{\sqrt{54}} = \dfrac{2}{\sqrt{6\times 9}} = \dfrac{2}{\sqrt{6}\times \sqrt{9}} = \dfrac{2}{3\sqrt{6}}

    Now, multiply by \dfrac{\sqrt6}{\sqrt6}

     \dfrac{2}{3\sqrt{6}} \times \dfrac{\sqrt6}{\sqrt6}= \dfrac{2\sqrt{6}}{3\sqrt{6}\sqrt{6}} = \dfrac{2\sqrt6}{3\times6} = \dfrac{2\sqrt6}{18} = \dfrac{\sqrt6}{9}

    I hope it helps!
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Jul 2010
    Posts
    86
    Thank u sooo much!
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor Unknown008's Avatar
    Joined
    May 2010
    From
    Mauritius
    Posts
    1,260
    You're welcome
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: August 31st 2011, 03:32 AM
  2. Simplifying surds
    Posted in the Algebra Forum
    Replies: 7
    Last Post: September 16th 2010, 03:20 AM
  3. Simplifying surds
    Posted in the Algebra Forum
    Replies: 2
    Last Post: March 30th 2010, 02:02 AM
  4. [SOLVED] Fractions with surds in the denominator
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: March 16th 2009, 10:11 PM
  5. Fractions in surds
    Posted in the Algebra Forum
    Replies: 11
    Last Post: September 14th 2008, 06:43 PM

/mathhelpforum @mathhelpforum