Question 1081729
 .3010010001... < {{{ highlight(sqrt(91205/1000000)) }}} < 0.3030030003…
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Found this as follows: 
1.  Clearly 0.302 is in the range required.   
2. 1000*0.302 = 302  
3.  302^2 = 91204
4.  91204 + 1 = 91205  (and sqrt(91205) is guaranteed to be irrational since it is perfect square + 1 and the distance to the next perfect square (303^2) is much greater than 1).
5.  Just add the denominator of 1000000 to line up the decimal place.