For the following gas phase equilibrium reaction at constant temperature, \( \mathrm{NH_3(g)} \rightleftharpoons \dfrac{1}{2}\mathrm{N_2(g)} + \dfrac{3}{2}\mathrm{H_2(g)} \) if the total pressure is \( \sqrt{3} \, \text{atm} \) and the pressure equilibrium constant \( (K_p) \) is \( 9 \, \text{atm} \), then the degree of dissociation is given as \( (x \times 10^{-2})^{1/2} \). The value of \( x \) is _______. (Nearest integer)
