Question

0.101001000......ot is rational or not how to solve

Answer 1

solution of these type of question just come by observation. If the number has growing pattern the it an irrational number and if the numbers has repeating pattern the it is a rational number. Like in the above question the has a growing pattern 10 100 1000 ...and so on , so this numbers is an irrational number.

Answer 2

Its an irrational number.
Because its decimals are non recurring and non terminating.

HOPE THIS HELPS YOU:)