how to solve this to get 200/root 3?

x(root 3+1)=200(root 3+1/root 3)

x × (√3+1) = 200(√3+1/√3)

⇒ x × (√3+1) = 200(√3+1)/√3          [multiplying √3 on both numerator and denominator ]

⇒ x = 200/√3  

= 200√3 / 3  Ans

Hope this would have cleared your doubt.