To simplify \( \sqrt{6} \times \sqrt{12} \), you can use the property of square roots that states \( \sqrt{a} \times \sqrt{b} = \sqrt{a \times b} \).
So, we have:
\[ \sqrt{6} \times \sqrt{12} = \sqrt{6 \times 12} \]
Calculating \( 6 \times 12 \):
\[ 6 \times 12 = 72 \]
Now, we take the square root of 72:
\[ \sqrt{72} \]
Next, we can simplify \( \sqrt{72} \). We can factor 72 into its prime factors:
\[ 72 = 36 \times 2 \]
Since \( 36 \) is a perfect square, we can write:
\[ \sqrt{72} = \sqrt{36 \times 2} = \sqrt{36} \times \sqrt{2} = 6\sqrt{2} \]
Therefore, the simplified form of \( \sqrt{6} \times \sqrt{12} \) is:
\[ 6\sqrt{2} \]