Question

Find two irrational numbers between 0.61611611116......., and 0.6835452935

Answer 1

Lot of methods to find it here iam mentioning a simple method irrational number is nonreccuring and non repeating numbers . Let k=.6161161116...=squrerootof(.37959906243)andLet n=.6835452935=rootof(.46723416826),,,,,,,,,, so we can choose any 2 numers between .37959906243 and .46723416826,,,,,,,,, i am choosing.39 and .45 taking there roots we get ,l=.6244997983... and root of .45 =.67082039324... both are irrational numbers in between the given limits . Conditions —————k less than l less than m less than n and also dont choose perfect squres like .4,.9...