" (ii) "(1)/(7+4sqrt(3))

Simplify (1)/(7+4sqrt(3))+(1)/(2+sqrt(5))

If x=(1)/(7+4sqrt(3)), y=(1)/(7-4sqrt(3)) , find the value of 5x^(2)-7xy-5y^(2)

Rationalise the denominator of (1)/(7+4sqrt(3))

Rationalise the denominator of (1)/(7+4sqrt(3)) .

Rationalise the denominator of (1)/(7+4sqrt(3)) .

Prove that (i) (1)/(3+sqrt(7)) + (1)/(sqrt(7)+sqrt(5))+(1)/(sqrt(5)+sqrt(3)) +(1)/(sqrt(3)+1)=1 (ii) (1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))+(1)/(sqrt(4)+sqrt(5))+(1)/(sqrt(5)+sqrt(6))+(1)/(sqrt(6)+sqrt(7)) +(1)/(sqrt(7)+sqrt(8))+(1)/(sqrt(8) + sqrt(9)) = 2

Rationalise the denominator of each of the following. (i) (1)/(sqrt(7)+sqrt(6)-sqrt(13)) (ii) (3)/(sqrt(3)+sqrt(5) -1) (iii) (4)/(2-sqrt(3)+sqrt(7))

Simiplify (1)/(7+4sqrt3)+(1)/(2+sqrt5)

Simiplify (1)/(7+4sqrt3)+(1)/(2+sqrt5)