Simplify `(7+sqrt(2))/(7-sqrt(2))+(7-sqrt(2))/(7+sqrt(2))`

Simplify (sqrt(7))/(sqrt(2))+(3)/(sqrt(3))

Simplify (sqrt(7)+sqrt(2))(sqrt(7)-sqrt(2))

simplify (5+sqrt(7))(5+sqrt(2))

Simplify: (7sqrt(3))/(sqrt(10)+sqrt(3))-(2sqrt(5))/(sqrt(6)+sqrt(5))-(3sqrt(2))/(sqrt(15)+3sqrt(2))

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)

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

simplify (sqrt(7)+sqrt(2))^(2)

Simplify (sqrt(7)-sqrt(5))/(sqrt(7)+sqrt(5))+sqrt(35)

(5-sqrt(-7))(5+sqrt(-7))(2-sqrt(-1))(2+sqrt(-1))