Question

What type of number will result from 5/12 ⋅ √16?
a Radical, because one factor is a radical
b Irrational, because one factor is irrational
c Rational, because both numbers are rational
d Irrational, because both factors are irrational

Answer 1

To solve the expression \( \frac{5}{12} \cdot \sqrt{16} \), we first need to evaluate \( \sqrt{16} \):

\[
\sqrt{16} = 4
\]

Now, we replace \( \sqrt{16} \) in the original expression:

\[
\frac{5}{12} \cdot 4
\]

Next, we multiply the fraction by 4:

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

The result \( \frac{5}{3} \) is a rational number.

Thus, the answer is:

**c Rational, because both numbers are rational.**