add. write your answer in simplest form. \$sqrt{108} + 2sqrt{3}\$

$add. write your answer in simplest form. \$sqrt{108} + 2sqrt{3}\$$

Factor 108: $108 = 36\times3$. So $\sqrt{108}=\sqrt{36\times3}=\sqrt{36}\times\sqrt{3}=6\sqrt{3}$.

Now we have $6\sqrt{3}+2\sqrt{3}$. Since they have the same radical part, we add the coefficients: $(6 + 2)\sqrt{3}=8\sqrt{3}$.

$8\sqrt{3}$