Find one irrational number between 0.2101 and 0.2222 . . .
Answer»
Let, a = 0.2101 And, b = 0.2222... We observe that in the second decimal place a has digit 1 and b has digit 2, therefore a < b . in the third decimal place a has digit 0. So, if we consider irrational numbers x = 0.211011001100011.... We find that a < x < b Hence, x is required an irrational number.