Use the product rule to multiply the following.
$\sqrt{6}\cdot \sqrt{5}$

• A. $\sqrt{11}$
• B. $\sqrt{30}$
• C. $\sqrt{3}$
• D. $11$

Answer: (B)

Verified step by step guidance

1. Identify the product you need to multiply: \(\sqrt{6} \cdot \sqrt{5}\).
2. Recall the product rule for square roots, which states that \(\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}\).
3. Apply the product rule by multiplying the numbers inside the square roots: \(6 \cdot 5\).
4. Write the product inside a single square root: \(\sqrt{6 \cdot 5}\).
5. Simplify the expression inside the square root to get \(\sqrt{30}\).