Without solving, will the product of 49−−√

Question

and 13
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 \( 13 \) is rational or irrational, we notice that:

1. \( \sqrt{49} = 7 \), which is a rational number (since it can be expressed as the fraction \( \frac{7}{1} \)).
2. \( 13 \) is also a rational number.

The product of two rational numbers is always a rational number. Therefore, the product of \( \sqrt{49} \) and \( 13 \) will be rational.

So, the answer is 1 (for rational).