AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

Which of the following is an irrational number?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

3. 3 ¯

3.763

3. 763 ¯

3.101100110001 .......

answer is D.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given some numbers and we have to find the irrational number.

3.101100110001 …

, this is a non-terminating and non-repeating number.
So

3.101100110001 …

is an irrational number.

3. 3 ¯

, Here, one digits after decimal that is 3 repeats regularly so it is a repeating decimal and it can be written in the form of

p q

.
So,

3.3333

is a rational number.
3.763 this is a terminating decimal so this can be written in the form of

p q

.
So, 3.763 is a rational number
3.763 Here, three digits after decimal that is 763 repeats regularly so it is a repeating decimal and it can be written in the form of

p q

.
So, 3.763763763 is a rational number 3.101100110001…... is an irrational number.
Therefore, the correct option is 4.

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!