Question

Which of the following is an irrational number?
(a) 2.39
(b) 3.4
(c) 0.271271271
(d) 3.010010011​

Answer 1

ok it's help you

d is right option

Answer 2

An irrational number is (d) $3.010010011.$

Step-by-step explanation:

The decimal expansion of a rational number is neither terminating nor non-terminating repeating.

The options here can be explained as follows,

(a) $2.39$ is terminating, so it is a rational number.

(b) $3.4$ is also terminating, so it is also a rational number.

(c) $0.27127127$ is also rational (non-terminating repeating), because where digits 127 are repeating.

(d) $3.010010011$ is an irrational number because it is neither terminating nor repeating.

Hence the option (d) $3.010010011$ is correct.