" i') "(1)/(7+4sqrt(3))

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

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

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

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

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

If z = ((1)/(sqrt(3)) + (1)/(2)i)^(7) + ((1)/(sqrt(3))-(1)/(2)i)^(7) , then

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

The value of (1)/(sqrt(7-4sqrt(3))) is closest to

Rationalise the denominators of the following : i) (1)/(3+sqrt(2)) ii) (1)/(sqrt(7)-sqrt(6)) iii) (1)/(sqrt(7)) iv) (sqrt(6))/(sqrt(3)-sqrt(2))

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