Factorise:

$\sqrt{3} x^{2}+10 x+8 \sqrt{3}=\sqrt{3} x^{2}+6 x+4 x+8 \sqrt{3}$

$=\sqrt{3} x(x+2 \sqrt{3})+4(x+2 \sqrt{3})$

$=(x+2 \sqrt{3})(\sqrt{3} x+4)$

Hence, factorisation of $\sqrt{3} x^{2}+10 x+8 \sqrt{3}$ is $(x+2 \sqrt{3})(\sqrt{3} x+4)$.