Evaluate the following: `\ (sqrt(3)+1)^5-(sqrt(3)-1)^5`

Evaluate the following: \ (3+sqrt(2))^5-(3-sqrt(2))^5

Simplify the following (sqrt(3)+1)^(5) -(sqrt(3) -1)^(5)

Simplify : (sqrt(3)+1)^(5)-(sqrt(3)-1)^(5)

Evalute: (sqrt(3)+1)^(5) -(sqrt(3)-1)^(5)

Evaluate the following: (i) (2 + sqrt(5) )^(5) + (2 - sqrt(5) )^(5) (ii) ( sqrt(3) + 1)^(5) - ( sqrt(3) - 1)^(5) Hence, show in (ii), without using tables, that the value of ( sqrt(3) + 1)^(5) lies between 152 and 153.

Find the Values of : (sqrt3+1)^5 -(sqrt3-1)^5 .

Given sqrt(2)=1.414, sqrt(3)=1.732, sqrt(5)=2.236 , find the value, correct to three decimals of the following (1-sqrt(3))/(sqrt(5)-sqrt(2))

Simplify each of the following : (i)(sqrt(2)+1)/(sqrt(2)-1)+(sqrt(2)-1)/(sqrt(2)+1)" "(ii)(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))+(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3))" "(iii)(2)/(sqrt(5)+sqrt(3))+(1)/(sqrt(3)+sqrt(2))-(3)/(sqrt(5)+sqrt(2))" "(iv)(sqrt(7)+sqrt(5))/(sqrt(7)-sqrt(5))-(sqrt(7)-sqrt(5))/(sqrt(7)+sqrt(5))