Evaluate `(sqrt(3)-sqrt(2))^6+(sqrt(3)+sqrt(2))^6dot`

Find (a+b)^4-(a-b)^4dot Hence evaluate (sqrt(3)+sqrt(2))^4-(sqrt(3)-sqrt(2))^4

Evaluate the following: \ (sqrt(3)+sqrt(2))^6-(sqrt(3)-sqrt(2))^6

Evaluate : (i)sqrt(3-2sqrt(2))" "(ii)sqrt(9+6sqrt(2))

Using binomial theorem, write the value of (a+b)^(6) + (a-b)^(6) and hence find the value of ( sqrt(3) + sqrt(2) )^(6) + ( sqrt(3) - sqrt(2) )^(6) .

(sqrt(6+2sqrt(5)))(sqrt(6-2sqrt(5)))

If x=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)) and y=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) , find x^2+y^2

If x=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)) and y=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) , find x^2+y^2

If x=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)) and y=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) find x^2+y^2

The value of sqrt(5+2sqrt(6)) is (a) sqrt(3)-sqrt(2) (b) sqrt(3)+sqrt(2) (c) sqrt(5)+sqrt(6) (d) none of these

Evaluate : (1)/(3-sqrt(8)) -(1)/(sqrt(8)-sqrt(7))+(1)/(sqrt(7)-sqrt(6))-(1)/(sqrt(6)-sqrt(5))+(1)/(sqrt(5)-2).