" (i) "(1)/(sqrt(5))

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 point P(1,1) is translated parallel to 2x=y in the first quadrant through a unit distance. The coordinates of the point P in the new position are (1+-2/(sqrt(5)),1+-1/(sqrt(5))) (1+-1/(sqrt(5)),1+-2/(sqrt(5))) (1/(sqrt(5)),2/(sqrt(5))) (4) (2/(sqrt(5)),1/(sqrt(5)))

If cos^(-1)((1)/(sqrt(5)))=theta , then what is the value of "cosec"^(-1)(sqrt(5)) ?

Rationalise the denominator of (1)/(sqrt(5)) .

Rationalise the denominator of (1)/(sqrt(5)) .

Show that (1)/(sqrt(5)) is irrational.

Find the 14 th and nth terms of the G.P.{sqrt(5),1,(1)/(sqrt(5)),(1)/(5)...}

Find the 14th and nth terms of the G.P. {sqrt(5), 1, (1)/(sqrt(5)), (1)/(5),….} .

(sqrt(5)-1)/(sqrt(5)+1)+(sqrt(5)+1)/(sqrt(5)-1)=a+b sqrt(5)

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