Find any two irrational numbers between (1) 0.3010011000111.... and 0.3020020002....
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Given Numbers are 0.3010010001... and 0.3030030003. Clearly, These are irrational Numbers as they are non terminating and non recurring decimals.
⇒ Here we have to find a rational and irrational number in between them.
Number line →
REF. IMAGE 1
0.3011 is a rational number which lies after 0.301001 and 0.302 is in between these two irrationals.
we can write irrational Number as →
REF. IMAGE 2
Therefore, 0.3011 and 0.3020020002... lie in between 0.3010010001... and $0.3030030003....$$
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