Answer :

Let us assume is a rational number.


So,


, b ≠ 0 and also a and b are integers.


b(2+√3) = 5a


2b+ √3b = 5a



Since, a and b are integers.


5a – 2b will also be an integer.


So, will be rational number which means √3 is also rational.


But √3 is irrational as given which is contradiction.


So, is an irrational number.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Glimpses of IndiaGlimpses of IndiaGlimpses of India39 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

<span lang="EN-USRS Aggarwal - Mathematics