`(5sqrt(28))/(3sqrt7)`

(5sqrt(2)xx7sqrt(7))/(3sqrt(27)xx sqrt(125))=

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

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

Multiply (3sqrt(-7)-5sqrt(-2))(3sqrt(-2)+5sqrt(-2)

The simplest form of (sqrt(8+sqrt28)-sqrt(8-sqrt(28)))/(sqrt(8+sqrt(28))+sqrt(8-sqrt(28)))

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))

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))

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

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}