(iv)(2+sqrt(3))^(7)+(2-sqrt(3))^(7)

Prove that (2 +sqrt(3))^(7) +(2-sqrt(3))^(7)=10084 Hence show that 10083 lt ( 2+sqrt(3))^(7) lt 10084 .

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

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

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

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

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

(sqrt(7)+2sqrt(3))(sqrt(7)-2sqrt(3))

If both a and b are rational numbers,find the values of a and b in each of the following equalities :(sqrt(3)-1)/(sqrt(3)+1)=a+b sqrt(3)( ii) (3+sqrt(7))/(3-sqrt(7))=a+b sqrt(7)(5+2sqrt(3))/(7+4sqrt(3))=a+b sqrt(3)( iv) (5+sqrt(3))/(7-sqrt(3))=47a+sqrt(3)b(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))=a+b sqrt(15) (iv) (sqrt(2)+sqrt(3))/(3sqrt(2)-2sqrt(3))=1-b sqrt(3)

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