Question 1083816
<pre>

The square root of their product is between them and irrational.

5/7 and 9/11

{{{sqrt((5/7)(9/11))}}}{{{""=""}}}{{{sqrt(9*5/77)}}}{{{""=""}}}{{{3sqrt(5/77)}}} 

Note:

5/7 is approximately 0.7142857143

9/11 is approximately 0.81818181812

Both those are rational numbers.

{{{3sqrt(5/77)}}} is approximately 0.7644707872

It is irrational and between 5/7 and 9/11.

Edwin</pre>