The problem is to simplify the expression $\sqrt{2} \cdot \sqrt{7}$.

1. Problem Description

The problem is to simplify the expression $\sqrt{2} \cdot \sqrt{7}$.

2. Solution Steps

We can use the property of square roots that states $\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$. Applying this property to the expression, we get:

$\sqrt{2} \cdot \sqrt{7} = \sqrt{2 \cdot 7}$

$\sqrt{2 \cdot 7} = \sqrt{14}$

Since 14 has no perfect square factors other than 1, we cannot simplify $\sqrt{14}$ any further.

3. Final Answer

The final answer is $\sqrt{14}$.