What type of number will result from 5/12 x square root 16?

Question

Irrational, because both factors are irrational.
Rational, because both numbers are rational.
Radical, because one factor is radical.
Irrational, because one factor is irrational.

Answer 1

To evaluate the expression \( \frac{5}{12} \times \sqrt{16} \), we first need to determine the value of \(\sqrt{16}\).

Calculating that gives us:

\[ \sqrt{16} = 4 \]

Now, we can substitute this back into the expression:

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

Next, we simplify \( \frac{5}{12} \times 4 \) as follows:

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

Now, \( \frac{5}{3} \) is a rational number.

Therefore, the correct answer is: Rational, because both numbers are rational.