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

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

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)

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

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

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

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)

Rationalize the denominatiors of : (sqrt(6)-sqrt(5))/(sqrt(6)+sqrt(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

Simplify each of the following by rationalising the denominator,(1)/(5+sqrt(2)) (ii) (5+sqrt(6))/(5-sqrt(6)) (iii) (7+3sqrt(5))/(7-3sqrt(5)) (iv) (2sqrt(3)-sqrt(5))/(2sqrt(2)+3sqrt(3))