If `x = 5 - 2 sqrt6`, find `1/x`.

If x = 5 - 2sqrt6 , find: x - 1/x

If x=5-2sqrt6 then find x^4-1/x^4

x=5-2sqrt(6), find x^(2)+(1)/(x^(2))

If x=5-2sqrt(6), find the value of x^(2)+(1)/(x^(2))

If x = (5-sqrt(21))/2 , find the value of x+(1)/(x)

If cos (pi/12) = (sqrt(2) + sqrt(6))/(4) , then all x in (0,pi/2) such that (sqrt(3)-1)/(sin x) + (sqrt(3)+1)/(cos x) = 4sqrt(2) , then find x.

(i) If p(x)=3x^(2)-5x+6 , find p(2) . (ii) If q(x)=x^(2)-2sqrt(2)x+1 , find q(2sqrt(2)) . (iii) If r(x)=5x-4x^(2)+3 find r(-1) .

If x=5+2sqrt(6), then sqrt((x)/(2))-(1)/(sqrt(2x))= (a) 1 (b) 2 (c) 3 (d) 4