[vec x+20)" an iv "],[(5+sqrt(7))times(5-sqrt(7))]

Solve : ( 5 + sqrt(7)) times ( 5 - sqrt(7))

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

Solve : 7/ sqrt(5) times 4/ sqrt(5)

Multiply 3sqrt(7) by 5sqrt(7)

determine a and b if (7+sqrt(5))/(7-sqrt(5))-(7-sqrt(5))/(7+sqrt(5))=a+7b sqrt(5)

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

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

(sqrt7-sqrt5)/(sqrt7+sqrt5)

Classify the following numbers as rational or irrational . i) 5-sqrt(3) ii) sqrt(3)+sqrt(2) iii) (sqrt(2)-2)^(2) iv) (2sqrt(7))/(7sqrt(7))

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}