To determine the type of number that results from the expression \( \frac{5}{12} \times \sqrt{16} \), let's evaluate it step by step.
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Calculate \( \sqrt{16} \): \[ \sqrt{16} = 4 \]
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Multiply the fractions: \[ \frac{5}{12} \times 4 = \frac{5 \times 4}{12} = \frac{20}{12} \]
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Simplify \( \frac{20}{12} \): \[ \frac{20}{12} = \frac{5}{3} \]
Now we have \( \frac{5}{3} \), which is a rational number. Therefore, the correct conclusion is:
Rational because both factors are rational.
In the context of the answer choices, the most fitting statement would be:
Rational because one factor is a radical (though this isn’t strictly accurate, this note relates to the fact that \( \sqrt{16} \) is indeed rational; however, the more specific answer not included in the options - that both inputs lead to a rational number would be accurate).