`(2-sqrt(5))^6+(2+sqrt(5))^6=`

(6+sqrt(5))/(6-sqrt(5))

The value of (sqrt(5)+2)^(6)+(sqrt(5)-2)^(6) is

(ii) log_(sqrt(5)+1)(6+2sqrt(5))

(sqrt(6+2sqrt(5)))(sqrt(6-2sqrt(5)))

Show that : (1)/(3-2sqrt(2))- (1)/(2sqrt(2)-sqrt(7)) + (1)/(sqrt(7)-sqrt(6))-(1)/(sqrt(6)-sqrt(5))+(1)/(sqrt(5)-2)=5 .

If a=sqrt(6+2sqrt(5))-sqrt(6-2sqrt(5)),b=^(3)sqrt(17sqrt(5)+38)-^(3)sqrt(17sqrt(5)-38) then the value of log_(a)b is equal to

Which of the following is equal to (6 + sqrt(5))/(2 - sqrt(5)) ?

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

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 length of the chord cut off by y=2x+1 from the circle x^(2)+y^(2)=2 is a.(5)/(6) b.(6)/(5) c.(6)/(sqrt(5)) d.(sqrt(5))/(6)