simplify: $\\sqrt{27}-\\sqrt{12}$

Explanation:

Step1: Simplify each square root

$$ \begin{align*} \sqrt{27}&=\sqrt{9\times3}=3\sqrt{3}\ \sqrt{12}&=\sqrt{4\times3}=2\sqrt{3} \end{align*} $$

Step2: Subtract the simplified square roots

$$ \begin{align*} \sqrt{27}-\sqrt{12}&=3\sqrt{3}-2\sqrt{3}\ &=(3 - 2)\sqrt{3}\ &=\sqrt{3} \end{align*} $$

Answer:

(\sqrt{3})