iii) `sqrt(2)/sqrt(5)`

Rationalise the denominator of each of the following (sqrt(3)+1)/(sqrt(2))( ii) (sqrt(2)+sqrt(5))/(sqrt(3))( iii) (3sqrt(2))/(sqrt(5))

(iii) (2-sqrt(2))/(sqrt(5))

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)

Simplify the following expressions: (3+sqrt(3))(3-sqrt(3))( ii) (sqrt(5)-sqrt(2))(sqrt(5)+sqrt(2))

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

Rationalize : ( sqrt(2) + sqrt(3) ) / sqrt(5)

(1+sqrt(2))/(sqrt(5)+sqrt(3))+(1-sqrt(2))/(sqrt(5)-sqrt(3))

Simplify: (sqrt(5)-2)/(sqrt(5)+2)-(sqrt(5)+2)/(sqrt(5)-2)