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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 months ago

Yes, the sum of the two rational numbers \( \frac{47}{3} \) and \( \sqrt{121} \) (which is 11) will produce a rational number because both components are rational: \( \frac{47}{3} \) is a rational number and \( 11 \) (as \( \sqrt{121} \)) is also rational, and the sum of two rational numbers is always rational.