# Math Help - introduction to real analysis

1. ## 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.

2. ## Re: introduction to real analysis

Originally Posted by Yeison
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?