Use the quotient rule to divide, then simplify.
$\frac{\sqrt{144}}{\sqrt{16}}$

• A. $6$
• B. $3$
• C. $\sqrt{3}$
• D. $\sqrt{6}$

Answer: (B)

Verified step by step guidance

1. Identify the expression to simplify: \(\frac{\sqrt{144}}{\sqrt{16}}\).
2. Recall the quotient rule for radicals, which states that \(\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\) for positive numbers \(a\) and \(b\).
3. Apply the quotient rule to rewrite the expression as \(\sqrt{\frac{144}{16}}\).
4. Simplify the fraction inside the square root: \(\frac{144}{16}\).
5. Find the square root of the simplified fraction to complete the simplification process.