Q. 5 F

# Prove that following numbers are irrational :√7 – √5

Let us assume - is rational

Let, - = Squaring both sides, we get 2 = 12 - 2 = 2 = – 12

2 =  =  Since, rational ≠ irrational , Our assumption is incorrect.

Hence, is irrational.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Interactive Quiz:Euclid's Division Lemma44 mins  Fundamental Theorem of Arithmetic-238 mins  NCERT | Imp. Qs. on Rational and Irrational Numbers44 mins  Fundamental Theorem of Arithmetic- 143 mins  Champ Quiz | Fundamental Principle Of Arithmetic41 mins  Quiz | Imp Qs on Real Numbers37 mins  Relation Between LCM , HCF and Numbers46 mins  Application of Euclids Division Lemma50 mins  Quiz | Fun with Fundamental Theorem of Arithmetic51 mins  Euclids Division Lemma49 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 view all courses 