Question

Write three numbers whose decimal expansions are non-terminating non-recurring.

Answer 1

Hint: The type of numbers which have a non-terminating non-recurring decimal expansion are irrational numbers. Hence all the irrational numbers have a non-terminating non-recurring decimal expansion. An irrational number is that number which cannot be represented in the p/q form.

Complete step-by-step answer:
The decimal expansion of all the irrational numbers is non-terminating non-recurring. Irrational numbers are all the real numbers which are not rational i.e. cannot be expressed as the ratio of 2 integers.
Some non-terminating non-recurring irrational numbers are
$\sqrt 2 = 1.41421356....$
$\sqrt 3 = 1.73205080....$
$\sqrt 5 = 2.23606797....$

Note: 1) The numbers which cannot be written in p/q form are known as irrational numbers.
 2) The decimals which are non-terminating and non-recurring are known as irrational numbers.