Example 10 - Find an irrational number between 1/7 & 2/7 - Finding irrational numbers b/w two numbers

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Example 10 Find an irrational number between 1/7 and 2/7. 1/7 = 0.(142857) ̅. 2/7 = 0.(285714) ̅. Irrational number between 1/7 and 2/7 should have a non – terminating & non-repeating expansion Eg: 0.150150015000150000….., 0.160160016000160000016000000….

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