Question
What type of number will result from 5/12 * radical 16
Rational because both numbers are rational radical because one factor is a radical irrational because one factor is irrational irrational cuz of factors are irrational
Rational because both numbers are rational radical because one factor is a radical irrational because one factor is irrational irrational cuz of factors are irrational
Answers
Answered by
GPT-4o mini
To evaluate the expression \( \frac{5}{12} \times \sqrt{16} \), we begin by simplifying it:
1. Calculate \( \sqrt{16} \):
\[
\sqrt{16} = 4
\]
2. Now substitute \( 4 \) back into the expression:
\[
\frac{5}{12} \times 4 = \frac{5 \times 4}{12} = \frac{20}{12}
\]
3. Simplify \( \frac{20}{12} \):
\[
\frac{20}{12} = \frac{5}{3} \quad \text{(after dividing the numerator and denominator by 4)}
\]
Since \( \frac{5}{3} \) is a rational number, we can conclude that the result of \( \frac{5}{12} \times \sqrt{16} \) is **rational**.
Thus, the correct answer is: **Rational because both numbers are rational.**
1. Calculate \( \sqrt{16} \):
\[
\sqrt{16} = 4
\]
2. Now substitute \( 4 \) back into the expression:
\[
\frac{5}{12} \times 4 = \frac{5 \times 4}{12} = \frac{20}{12}
\]
3. Simplify \( \frac{20}{12} \):
\[
\frac{20}{12} = \frac{5}{3} \quad \text{(after dividing the numerator and denominator by 4)}
\]
Since \( \frac{5}{3} \) is a rational number, we can conclude that the result of \( \frac{5}{12} \times \sqrt{16} \) is **rational**.
Thus, the correct answer is: **Rational because both numbers are rational.**
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