Question

5/12*square root of 16
Irrational
Rational because one factor is radical
Rational because both factors are rational
Irrational because both numbers are irrational

Answer 1

To simplify \( \frac{5}{12} \sqrt{16} \):

First, calculate \( \sqrt{16} = 4 \).

Now substitute this value back into the expression:

\[
\frac{5}{12} \cdot 4 = \frac{5 \cdot 4}{12} = \frac{20}{12} = \frac{5}{3}
\]

Since \( \frac{5}{3} \) is a fraction of two integers, it is a rational number.

Thus, the correct choice is:

**Rational because both factors are rational.**