Multiple Choice
Use the product rule to rewrite the term inside the radical as a product, then simplify.
9. Roots, Radicals, and Complex Numbers
Simplifying Radical Expressions
Multiple Choice
Use the quotient rule to divide, then simplify.
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Verified step by step guidance1
Start with the given expression: \(\frac{\sqrt{75}}{\sqrt{3}}\).
Use the property of radicals that allows you to combine the quotient under a single square root: \(\frac{\sqrt{75}}{\sqrt{3}} = \sqrt{\frac{75}{3}}\).
Simplify the fraction inside the square root: \(\frac{75}{3} = 25\), so the expression becomes \(\sqrt{25}\).
Recognize that \(\sqrt{25}\) is a perfect square and can be simplified to \$5$.
Therefore, the simplified form of the original expression is \$5$.
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