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