Without solving, will the product of √49 and 1/3 be rational or irrational? Enter 1 for rational. Enter 2 for irrational.(1 point)

Answer 1

To determine if the product of \( \sqrt{49} \) and \( \frac{1}{3} \) is rational or irrational, we first evaluate \( \sqrt{49} \).

Since \( \sqrt{49} = 7 \), which is a rational number, we multiply it by \( \frac{1}{3} \):

\[ 7 \times \frac{1}{3} = \frac{7}{3} \]

Since \( \frac{7}{3} \) is a ratio of two integers (7 and 3), it is also rational.

Thus, the answer is 1 for rational.