Question

The decimal representation of an irrational number is ______.

विकल्प

• terminating

• non-terminating

• non-terminating repeating

• non-terminating non-repeating

Answer 1

The decimal representation of an irrational number is non-terminating non-repeating.

Explanation:

An irrational number is a number that cannot be expressed as a ratio of two integers.

Its decimal representation neither terminates nor repeats in a pattern. 

Unlike rational numbers, which have either terminating or non-terminating repeating decimals, irrational numbers continue infinitely without any repetition. 

For example, the decimal expansion of `sqrt(2)` is non-terminating and non-repeating, making it an irrational number.

Thus, the decimal representation of an irrational number is non-terminating and non-repeating.