Evaluate the following: `(2+sqrt(3))^7+(2-sqrt(3))^7`

Evaluate/simplify the following: |sqrt(7-4sqrt(3))|+|sqrt((2-sqrt(3))^2)|

Evaluate/simplify the following: |sqrt(7-4sqrt(3))|+|sqrt((2-sqrt(3))^2)|

Evalute: (2+sqrt(3))^(7)+(2-sqrt(3))^(7)

Evaluate (2+sqrt3)^7+(2-sqrt3)^7

Rationalise the denominator in each of the following: (2)/(sqrt(7)) (ii) (2)/(3sqrt(3)) (iii) (2sqrt(7))/(sqrt(11))

Rationalise the denominator in each of the following: (i) 2/(sqrt(7)) (ii) 2/(3sqrt(3)) (iii) (2sqrt(7))/(sqrt(11))

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

Find the value of a and b in each of the following :(5+2sqrt(3))/(7+4sqrt(3))=a-b sqrt(3)

Find: (sqrt7 +sqrt3)(3-sqrt3)

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)