Answer :


(a + b) 2 = a2 + 2ab + b2


Also x = 1 / y or y = 1/x


Let a = x


b = y


(x + y) 2 = x2 + 2xy + y2


But we know y = 1/x








Here the denominators form the expansion as


(a + b) × (a – b) = (a2 – b2)


Here a = √3


b = √2


a2 = (√3)2


= 3


b2 = (√2)2


= 2



= 102 – 2


= 100-2


= 98


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Champ Quiz | Number SystemsChamp Quiz | Number SystemsChamp Quiz | Number Systems43 mins
Simplification of Expressions and Finding their Values Using Laws of ExponentsSimplification of Expressions and Finding their Values Using Laws of ExponentsSimplification of Expressions and Finding their Values Using Laws of Exponents38 mins
Doubts & Quiz - Simplification of Expressions and Laws of ExponentsDoubts & Quiz - Simplification of Expressions and Laws of ExponentsDoubts & Quiz - Simplification of Expressions and Laws of Exponents41 mins
Atomic NumberAtomic NumberAtomic Number46 mins
Genius Quiz | Number SeriesGenius Quiz | Number SeriesGenius Quiz | Number Series24 mins
Foundation | Number Theory (Part-3)Foundation | Number Theory (Part-3)Foundation | Number Theory (Part-3)43 mins
Foundation | Number Theory Part-1Foundation | Number Theory Part-1Foundation | Number Theory Part-144 mins
The Curious Case of Irrational NumbersThe Curious Case of Irrational NumbersThe Curious Case of Irrational Numbers43 mins
Bonus Questions on RationalizationBonus Questions on RationalizationBonus Questions on Rationalization47 mins
Smart Revision | Rapidly Revising Exponents of Real NumbersSmart Revision | Rapidly Revising Exponents of Real NumbersSmart Revision | Rapidly Revising Exponents of Real Numbers53 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 :

If x is rational RS Aggarwal & V Aggarwal - Mathematics

If <img widRD Sharma - Mathematics

If <img widRD Sharma - Mathematics

The value of <spaRD Sharma - Mathematics

If x =<spaRD Sharma - Mathematics

If <img widRD Sharma - Mathematics

If x = 3+<RD Sharma - Mathematics

The decimal repreRS Aggarwal & V Aggarwal - Mathematics

An irrational numRS Aggarwal & V Aggarwal - Mathematics