Express in simplest radical form.start fraction, square root of, 12, end square root, divided by, 6, end fraction612​ ​ Answer

1. Break Down the Problem

We need to simplify the expression $\frac{\sqrt{12}}{6}$.

2. Relevant Concepts

To simplify the expression, we will:

• Simplify the square root $\sqrt{12}$.
• Then divide the result by 6.

3. Analysis and Detail

1. Simplifying $\sqrt{12}$: $\sqrt{12} = \sqrt{4 \cdot 3} = \sqrt{4} \cdot \sqrt{3} = 2\sqrt{3}$

2. Substituting back into the expression: $\frac{\sqrt{12}}{6} = \frac{2\sqrt{3}}{6}$

3. Simplifying the fraction: $\frac{2\sqrt{3}}{6} = \frac{1\sqrt{3}}{3} = \frac{\sqrt{3}}{3}$

4. Verify and Summarize

The steps have led us from the original expression to its simplest form. We verified the calculations at each step.

Final Answer

$\frac{\sqrt{12}}{6} = \frac{\sqrt{3}}{3}$