Multiply and simplify completely: \( \sqrt{14} \cdot \sqrt{7}=\square \)

When you multiply square roots, you can combine them under one radical. So, \( \sqrt{14} \cdot \sqrt{7} \) can be rewritten as \( \sqrt{14 \cdot 7} \). Calculating the product inside the square root gives us \( 14 \cdot 7 = 98 \). Therefore, we have \( \sqrt{98} \). Now, let's simplify \( \sqrt{98} \). We can factor \( 98 \) into \( 49 \cdot 2 \), where \( 49 \) is a perfect square. Thus, \( \sqrt{98} = \sqrt{49 \cdot 2} = \sqrt{49} \cdot \sqrt{2} = 7\sqrt{2} \). So, \( \sqrt{14} \cdot \sqrt{7} = 7\sqrt{2} \).