5/12*square root of 16

Question

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.