Question

The decimal expansion of an irrational number is:

• A. terminating
• B. non-terminating repeating
• C. non-terminating and non-repeating
• D. None of these

Answer 1

The correct option is C non-terminating and non-repeating

The real numbers that can not be represented in $\frac{p}{q}$ form are known as irrational numbers, where p and q are integers and q is not equal to zero.

Irrational numbers are non-terminating and non-repeating when expressed in decimal form.

Example: 1.142343.., 0.121314...
These decimals cannot be written as $\frac{p}{q}$ form. Hence these decimals that does not repeat/terminate is the decimal expansion of an irrational number.