Results 1 to 2 of 2
Like Tree1Thanks
  • 1 Post By Plato

Math Help - introduction to real analysis

  1. #1
    Junior Member
    Joined
    Feb 2014
    From
    USA
    Posts
    28
    Thanks
    3

    introduction to real analysis

    How may I demonstrate that there exists a rational number "r" such that x<r^2<y; where x and y are two positive real numbers.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,716
    Thanks
    1642
    Awards
    1

    Re: introduction to real analysis

    Quote Originally Posted by Yeison View Post
    How may I demonstrate that there exists a rational number "r" such that x<r^2<y; where x and y are two positive real numbers.
    Between any two numbers there is a rational number.
    If $0<x<y$ then $\sqrt{x}<\sqrt{y}$. Can you finish?
    Thanks from Yeison
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. introduction to real analysis
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: April 17th 2014, 04:18 PM
  2. introduction to real analysis
    Posted in the Advanced Math Topics Forum
    Replies: 1
    Last Post: March 18th 2014, 08:01 PM
  3. introduction to real analysis
    Posted in the Advanced Math Topics Forum
    Replies: 4
    Last Post: March 18th 2014, 07:17 PM
  4. real analysis
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: March 26th 2011, 02:10 PM
  5. Introduction to Topology and Modern Analysis Problems Thread
    Posted in the Differential Geometry Forum
    Replies: 14
    Last Post: April 29th 2010, 05:57 AM

Search Tags


/mathhelpforum @mathhelpforum