Evaluate the following: `\ (sqrt(2)+1)^6+(sqrt(2)-1)^6`

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

Evaluate the following: (x+sqrt(x^(2)-1))^(6)+(x-sqrt(x^(2)-1))^(6)

Evaluate the following: (sqrt(x+1)+sqrt(x-1))^(6)+(sqrt(x+1)-sqrt(x-1))^(6)

If sqrt(2)=1.414,sqrt(3)=1.732 , find the value of the following : (i)(sqrt(2)+1)/(sqrt(2)-1)" "(ii)(sqrt(3)-1)/(sqrt(3)+1)" "(iii)(2+sqrt(6))/(sqrt(2))

Show that (sqrt(2)+1)^(6)+(sqrt(2)-1)^(6)=198

Find the value of (sqrt(2)+1)^(6)-(sqrt(2)-1)^(6)

Evalute: (sqrt(2)+1)^(6) + ( sqrt(2) - 1)^(6)

For the principal values,evaluate the following: sin^(-1)(-(sqrt(3))/(2))+csc^(-1)(-(2)/(sqrt(3)))sec^(-1)(sqrt(2))+2csc^(-1)(-sqrt(2))sin^(-1)[cos{2csc^(-1)(-2)}]csc^(-1)(2tan(11 pi)/(6))

Solve (sqrt2+1)^x +(sqrt2-1)^x = 6 .

Evaluate using binomial theorem: (i) (sqrt(2)+1)^(6) +(sqrt(2)-1)^(6) (ii) (sqrt(5)+sqrt(2))^(4)-(sqrt(5)-sqrt(2))^(4)