# Express $\sqrt 3(2+\sqrt 3)$ in the form $a + b \sqrt3$

Express $\sqrt 3(2+\sqrt 3)$ in the form $a + b \sqrt3$.

I have expanded parentheses to get: $2\cdot \sqrt{3}+3$.
How would I go from there and write it in the form mentioned above?

$\color{red}{2}\sqrt{3}+\color{blue}{3}$ is in the form $\color{blue}{a}+\color{red}{b}\sqrt{3}$.
• With addition the order you write something is not important as $a+b=b+a$ due to associativity. So your answer of $2\sqrt{3}+3$ is exactly the same as $3+2\sqrt{3}$ and hence it is in the form required. – Ian Miller Jun 12 '16 at 4:04
• According to that logic, $\sqrt{3}(2+\sqrt{3})$ is already in the required form as well. – John Joy Jun 12 '16 at 15:21