Question

simplify root 3 x^2 + 10 x + 8 root 3

Answer 1

$$\begin{gathered} \sqrt{3}{\mathrm{x}}^2+10\mathrm{x}+8\sqrt{3} \\ =\sqrt{3}{\mathrm{x}}^2+6\mathrm{x}+4\mathrm{x}+8\sqrt{3} \\ =\sqrt{3}\mathrm{x}\left(\mathrm{x}+2\sqrt{3}\right)+4\left(\mathrm{x}+2\sqrt{3}\right) \\ =\left(\sqrt{3}\mathrm{x}+4\right)\left(\mathrm{x}+2\sqrt{3}\right) \end{gathered}$$