KnowledgeBoat Logo

Mathematics

Which of the following is an irrational number ?

  1. 0.14
  2. 0.14160.14\overline{16}
  3. 0.14160.\overline{1416}
  4. 0.4014001400014…

Rational Irrational Nos

7 Likes

Answer

0.14 is terminating decimal number hence, rational number.

0.14160.14\overline{16} = 0.14161616… is non-terminating repeating decimal number hence, rational number.

0.14160.\overline{1416} = 0.14161416… is non-terminating repeating decimal number hence, rational number.

0.4014001400014… is non-terminating, non-repeating decimal number hence, it is an irrational number.

∴ Option 4, is the correct option.

Answered By

4 Likes


Related Questions