To simplify the square root of 72, we can start by factoring 72 into its prime factors:
\[ 72 = 36 \times 2 = 6^2 \times 2 = (6 \cdot 6) \cdot 2 \]
Now, we can express \(\sqrt{72}\) using these factors:
\[ \sqrt{72} = \sqrt{36 \times 2} \]
Using the property of square roots that \(\sqrt{a \times b} = \sqrt{a} \times \sqrt{b}\), we have:
\[ \sqrt{72} = \sqrt{36} \times \sqrt{2} \]
Since \(\sqrt{36} = 6\), we can simplify further:
\[ \sqrt{72} = 6 \sqrt{2} \]
So, the simplified form of \(\sqrt{72}\) is:
\[ \boxed{6\sqrt{2}} \]