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.