Answer the following questions related to rational and irrational numbers.

MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems

Problem

Answer the following questions related to rational and irrational numbers. (i) Explain the main difference between a rational number and an irrational number with reference to their decimal expansions. (ii) Justify whether 25\sqrt{25} is a rational number. (iii) Give a clear reason to show that 3\sqrt{3} is not a rational number. (iv) A student claims that 0.142857‾0.\overline{142857} is an irrational number. Do you agree? Give reason for your answer.

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