`(sqrt5 . sqrt2)`

Evaluate : ( sqrt(5) + sqrt(2) ) times ( sqrt(5) + sqrt(2) )

If a= (sqrt(5) + sqrt(2))/(sqrt(5) -sqrt(2)) and b = (sqrt(5)-sqrt(2))/(sqrt(5)+sqrt(2)) show that 3a^(2) + 4ab -3b^(2) = 4 +(56)/(3) sqrt(10)

Rationalise the denomimator of (6)/(sqrt(5)+ sqrt(2))

sqrt2/(5 - sqrt2)

Rationalisation of the denomintor of (1)/(sqrt(5) + sqrt(2)) gives

(sqrt(5)-sqrt(2))(sqrt(5)+sqrt(2))^(2)

6.The value of (sqrt(5)+sqrt(2))(sqrt(5)-sqrt(2)) is:

(sqrt(5)-sqrt(2))(sqrt(5)+sqrt(2))

If a=(sqrt(5)+sqrt(2))/(sqrt(5)-sqrt(2)) and b=(sqrt(5)-sqrt(2))/(sqrt(5)+sqrt(2)), find the value of (a^(2)+ab+b^(2))/(a^(2)-ab+b^(2))