Consider the expression 47/3 + squareroot 121. Will the sum of the two rational numbers produce a rational or irrational number? Find the sum and explain your reasoning in 1 sentence.

1 answer

The expression \( \frac{47}{3} + \sqrt{121} \) simplifies to \( \frac{47}{3} + 11 \), which is equal to \( \frac{47}{3} + \frac{33}{3} = \frac{80}{3} \). Since both \( \frac{47}{3} \) and \( \sqrt{121} \) (which is \( 11 \)) are rational numbers, their sum will also be rational.