If `a=(3+sqrt5)/2` then find the vaule of `a^(2)+1/(a^(2))`

If a=(3+sqrt5)/2 then find the value of a^2+1/a^2

If a = sqrt5 + 2 then find the value of : a^(2) + 1/a^(2)

If a = (sqrt5 +1)/(sqrt5-1) and b = (sqrt5-1)/(sqrt5+1) then find the value of (5a^(2) -3ab +5b^(2))

If a = (sqrt5 + 1)/(sqrt5 + 1) and b = (sqrt5 -1)/(sqrt5 + 1) , then find the value of (a) (a^(2) + ab + b^(2))/(a^(2) - ab + b^(2)) (b) ((a -b)^(3))/((a + b)^(3)) (c) (3a^(2) + 5ab + b^(2))/(3a^(2) - 5ab + b^(2)) (d) (a^(3) + b^(3))/(a^(3) - b^(3))

If x = (sqrt5 -1)/(sqrt5 +1) and y (sqrt5 +1)/(sqrt5-1) then find the value of (x^(2)/y + y^(2)/x)

If p = (3-sqrt(5))/(3+sqrt(5)) and q = (3+sqrt5)/(3-sqrt(5)) ,find the value of p^(2) + q^(2) .

If a=(3-sqrt(5))/(3+sqrt(5)) and b=(3+sqrt(5))/(3-sqrt(5)) ,find the value of a^(2)+b^(2)

If x= (sqrt5+1)/(sqrt5-1) and x = 1/y then find the value of (3x^(2) -7xy + 3y^(2))

Given that sqrt(3)=1.732 and sqrt(5)=2.236 then find the value of ((6)/(sqrt(5)-sqrt(3))) .