`sqrt(9)/(sqrt(7)+sqrt(2))`

Rationailise the denominatios (1)/(sqrt(7)+sqrt(2))-(sqrt(7)+sqrt(2))/(sqrt(7)-sqrt(2))

Simplify (sqrt(7)+sqrt(2))(sqrt(7)-sqrt(2))

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}

(sqrt(7)+sqrt(3))/(sqrt(7)-sqrt(3))-(sqrt(7)-sqrt(3))/(sqrt(7)+sqrt(3))

If x=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)) and y=(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(2)), then x+y+xy=9(b)5(c)17(d)7, then

If a=(sqrt(7)-sqrt(6))/(sqrt(7)+sqrt(6)) and b=(sqrt(7)+sqrt(6))/(sqrt(7)-sqrt(6)), then find the value of a^(2)+b^(2)+ab

If a=(sqrt(7)-sqrt(6))/(sqrt(7)+sqrt(6)) and b=(sqrt(7)+sqrt(6))/(sqrt(7)-sqrt(6)), then find the value of a^(2)+b^(2)+ab

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))

Evaluate : (sqrt(7)+sqrt(5))/(sqrt(7)+sqrt(20)+sqrt(28)-sqrt(5)-sqrt(80))