Without solving, will the product of 49−−√

Question

and 1/3
be rational or irrational? Enter 1 for rational. Enter 2 for irrational.(1 point)

Answer 1

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

\(\sqrt{49} = 7\), which is a rational number.

Now we consider the product:

\[\sqrt{49} \times \frac{1}{3} = 7 \times \frac{1}{3} = \frac{7}{3}.\]

Since \(\frac{7}{3}\) is a fraction of two integers, it is a rational number.

Therefore, the product is rational.

So the answer is 1 for rational.