If m1 and m2 are roots of the equation x²+(√3+2)x+(√3-1)=0, then find the area of the triangle formed by the lines y=m1x, y=m2x and y=c.

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Question 1. If x, y ,z belong to positive reals and √x+√y+√z=1 then find minimum value of :
(x²+yz)/[x√{2(y+z)}] +(y²+xz)/[y√{2(x+z)}]+(z²+xy)/[z√{2(x+y)}]