Use the quotient rule to divide, then simplify.
$\frac{\sqrt{75}}{\sqrt{3}}$

• A. $5$
• B. $3\sqrt5$
• C. $\sqrt5$
• D. $5\sqrt3$

Answer: (A)

Verified step by step guidance

1. Start with the given expression: \(\frac{\sqrt{75}}{\sqrt{3}}\).
2. Use the property of radicals that allows you to combine the quotient under a single square root: \(\frac{\sqrt{75}}{\sqrt{3}} = \sqrt{\frac{75}{3}}\).
3. Simplify the fraction inside the square root: \(\frac{75}{3} = 25\), so the expression becomes \(\sqrt{25}\).
4. Recognize that \(\sqrt{25}\) is a perfect square and can be simplified to \$5$.
5. Therefore, the simplified form of the original expression is \$5$.