Consider the expression 473+121−−−√

. Will the sum of the two rational numbers produce a rational number? Explain your reasoning in 1–2 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 \( 473 \) and \( \sqrt{121} \) will produce a rational number. This is because \( 473 \) is a rational number, and \( \sqrt{121} = 11 \), which is also a rational number, so their sum \( 473 + 11 = 484 \) is rational.