Question

Consider the expression 47/3 + √121. Will the sum of the two rational numbers produce a rational number? Explain your reasoning in 1–2 sentences.

Answer 1

Yes, the sum of the two rational numbers will produce a rational number. The fraction \( \frac{47}{3} \) is rational, and \( \sqrt{121} \) simplifies to 11, which is also a rational number. Since the sum of two rational numbers is always rational, \( \frac{47}{3} + 11 \) will be rational.