`(sqrt(7)-sqrt(5))^3 - (sqrt(7)+sqrt(5))^3 `

Evaluate (sqrt(7)-sqrt(5))/ (sqrt(7)-sqrt(5))

show that (sqrt(7)-sqrt(5))/(sqrt(7)+sqrt(5))times(sqrt(7)-sqrt(5))/(sqrt(7)-sqrt(5)) =frac{(sqrt(7)-sqrt(5))^(2)}{2}

Rationalize the denominator of the following : (sqrt(2)-3sqrt(5))/(3sqrt(7)+5sqrt(3))

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))

(5sqrt(7)+2sqrt(7))(6sqrt(7)+3sqrt(7))=?

The simplified form of ( 2)/(sqrt(7) + sqrt(5)) + (7)/(sqrt(12)- sqrt(5)) - (5)/(sqrt(12) - sqrt(7)) is