Multiply the radicals: $$ \sqrt{3} \cdot \sqrt{12} $$

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To multiply the radicals $$ \sqrt{3} $$ and $$ \sqrt{12} $$, you can follow these steps:

1. **Use the Property of Square Roots:**
   
   The product of two square roots can be expressed as the square root of the product of their radicands (the numbers inside the square roots). Mathematically, this is:

$$
   \sqrt{a} \cdot \sqrt{b} = \sqrt{a \times b}
   $$
   
   Applying this property:

$$
   \sqrt{3} \cdot \sqrt{12} = \sqrt{3 \times 12}
   $$

2. **Multiply the Radicands:**

$$
   3 \times 12 = 36
   $$
   
   So,

$$
   \sqrt{3} \cdot \sqrt{12} = \sqrt{36}
   $$

3. **Simplify the Square Root:**

$$
   \sqrt{36} = 6
   $$
   
   Therefore,

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

**Final Answer:**  
$$ \sqrt{3} \cdot \sqrt{12} = 6 $$
$$ \sqrt{3} \cdot \sqrt{12} = 6 $$

Multiply the radicals: \( \sqrt{3} \cdot \sqrt{12} \)

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