Question

if x=√3-√2/√3+√2
and y
=√3-√2/√3+√2
then x2 + xy + y2 =​

Answer 1

Answer:

and  

We have to find  

First we calculate  

Consider  

We first rationalize the denominator  by multiply and divide by  

we get,

Simplify, we get,

Thus, squaring both side we get,

using algebraic identity  , we have,

Similarly, for  

Consider  

We first rationalize the denominator  by multiply and divide by  

we get,

Simplify, we get,

using algebraic identity  , we have,

then  

Simplify , we get,

Thus,

Step-by-step explanation: