Scelta multipla
Use the product rule to rewrite the term inside the radical as a product, then simplify.
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11. Roots, Radicals, and Complex Numbers
Simplifying Radical Expressions
Scelta multipla
Use the quotient rule to divide, then simplify.
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Start with the given expression: \(\frac{\sqrt{75}}{\sqrt{3}}\).
Use the quotient rule for square roots, which states that \(\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\). Apply this to rewrite the expression as \(\sqrt{\frac{75}{3}}\).
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, which simplifies to 5.
Therefore, the simplified form of the original expression is 5.
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