Prove:- `((sqrt5-1)/4)^2``((sqrt5+1)/4)^2``=(1/16)`

(1+sqrt5)^4+(1-sqrt5)^4=?

lim_(nrarroo)((1)/(5))^((log_(sqrt5)((1)/(4)+(1)/(8)+(1)/(16)+……."n terms")) equals

Prove that: cos36^(@)=(sqrt(5)+1)/(4)

Prove that (a) 5

Show that 4sin27^(0)=(5+sqrt(5))^((1)/(2))-(3-sqrt(5))^((1)/(2))

Evaluate using binomial theorem: (i) (sqrt(2)+1)^(6) +(sqrt(2)-1)^(6) (ii) (sqrt(5)+sqrt(2))^(4)-(sqrt(5)-sqrt(2))^(4)

The lengths of the sides of a right triangle given by a (A) (1+sqrt(5))/(4), (B) (1+sqrt(5))/(2) (C) 1+sqrt(5), (D) (1-sqrt(5))/(2)

Prove that (1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))+....+(1)/(sqrt(8)+sqrt(9))=2