Results 1 to 2 of 2

Math Help - Simplyfying fraction with square root

  1. #1
    Newbie
    Joined
    Jan 2009
    Posts
    1

    Simplyfying fraction with square root

    Hi guys, I'm new here and I'm trying to solve a question which is probably fairly elementry but I haven't taken math in a while so I'm struggling!

    For x < 0, simplify

    \sqrt{x^3+x^2}/x

    I know I'm missing some fundamental step but I just can't get it. Any help would be much appreciated! Thanks.

    edit: got help, thanks though!
    Last edited by Regime|Life; January 19th 2009 at 11:05 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Dec 2008
    From
    Scotland
    Posts
    901
    Quote Originally Posted by Regime|Life View Post
    Hi guys, I'm new here and I'm trying to solve a question which is probably fairly elementry but I haven't taken math in a while so I'm struggling!

    For x < 0, simplify

    \sqrt{x^3+x^2}/x

    I know I'm missing some fundamental step but I just can't get it. Any help would be much appreciated! Thanks.

    edit: got help, thanks though!
    If you put the denominator INSIDE the square root sign, you have to square it first:

    \frac{\sqrt{x^3+x^2}}{x}

     = \frac{\sqrt{x^3+x^2}}{\sqrt{x^2}}

     = \sqrt{\frac{x^3+x^2}{x^2}}

    Not take out a factor of  x^2 on the top:

     = \sqrt{\frac{x^2(x+1)}{x^2}}

     = \sqrt{x+1}

    Alternatively, take out the factor of  x^2 first:

    \frac{\sqrt{x^2(x+1)}}{x}

    =\frac{\sqrt{x^2}\sqrt{x+1}}{x}

    =\frac{x\sqrt{x+1}}{x}

    =\sqrt{x+1}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: January 7th 2011, 05:01 AM
  2. Fraction integrand with square root
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 18th 2010, 07:17 AM
  3. Fraction inside a square root. need some help
    Posted in the Algebra Forum
    Replies: 1
    Last Post: June 23rd 2010, 08:53 PM
  4. Square Root as a fraction?
    Posted in the Number Theory Forum
    Replies: 4
    Last Post: December 9th 2009, 07:53 AM
  5. Replies: 12
    Last Post: November 22nd 2008, 01:41 PM

Search Tags


/mathhelpforum @mathhelpforum