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Consider the expression 473+121−−−√

. Will the sum of the two rational numbers produce a rational or irrational number? Find the sum and explain your reasoning in 1–2 sentences

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To evaluate the expression \( 473 + \sqrt{121} \), we first calculate \( \sqrt{121} \), which is \( 11 \). Thus, the expression simplifies to \( 473 + 11 \), which equals \( 484 \). Since both \( 473 \) and \( 11 \) are rational numbers, their sum \( 484 \) is also a rational number. Therefore, the result of the expression is rational.