Question

Which of the following is an irrational number? OA) - 16 OB) 10.4 OC) 14 ) OD V16​

Answer 1

Correct option is D)

The decimal expansion of a rational number is either terminating or non-terminating repeating.

(A) 0.14 is terminating, so it is a rational number

(B) 0.14

16

ˉ

=0.141616....

is also rational ( non-terminating repeating ), where digits 16 are repeating.

(C) 0.1416 is terminating, so it is a rational number

(D) 0.4014001400014.....

is an irrational number because it is neither terminating nor repeating.