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. Recognize that the problem asks you to divide two square roots: \(\frac{\sqrt{144}}{\sqrt{16}}\).
2. Apply the quotient rule for square roots, which states that \(\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\). So rewrite the expression as \(\sqrt{\frac{144}{16}}\).
3. Simplify the fraction inside the square root by dividing 144 by 16, which gives \(\sqrt{9}\).
4. Evaluate the square root of 9, which is a perfect square, so \(\sqrt{9} = 3\).
5. Conclude that the simplified result of the original expression is 3.