Evaluate `(sqrt7+2sqrt3)(sqrt7-2sqrt3)`

(sqrt7-sqrt3)^2

Evaluate sqrt(3+sqrt(3)+sqrt(2+sqrt(3))+sqrt(7+sqrt(48)))

sqrt(7+4sqrt3) - sqrt(7-4sqrt3) =

Evaluate (sqrt(5)-sqrt(3))/(sqrt(2)+sqrt(7))

Evaluate (sqrt(7)-sqrt(2))(sqrt(5)+sqrt(2))

Evaluate (sqrt(7)+sqrt(2))+(sqrt(4)+sqrt(7))

(2sqrt2 - sqrt7)/(2sqrt2 + sqrt7)

Find the values of a and b in each of the following : (a)(5+2sqrt3)/(7+4sqrt(3))=a-6sqrt(3)" "(b)(3-sqrt(5))/(3+2sqrt(5))=asqrt(5)-(19)/(11) (c )(sqrt(2)+sqrt(3))/(3sqrt2-2sqrt(3))=2-bsqrt(6)" "(d)(7+sqrt(5))/(7-sqrt(5))-(7-sqrt(5))/(7+sqrt(5))=a+(7)/(11)sqrt(5b)

find the values of a and b in each of the following (i) (5+2sqrt3)/(7+4sqrt3) = a-6sqrt3 (ii) (3-sqrt5)/(3+2sqrt5)= asqrt5-(19/11) (iii) (sqrt2+sqrt3)/(3sqrt2-2sqrt3)=2-bsqrt6 (iv) (7+sqrt5)/(7-sqrt5)-(7-sqrt5)/(7+sqrt5)=a+(7/11)bsqrt5

given x=(sqrt(7)+sqrt(3))/(sqrt(7)-sqrt(3)),y=(sqrt(7)-sqrt(3))/(sqrt(7)+sqrt(3)) find the value of x^(4)+y^(4)+(x+y)^(4)