Consider the expression 473+121−−−√ . Will the sum of the two rational numbers produce a rational number? Explain your reasoning in 1–2 sentences.(2 points)

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

The expression \( 473 + \sqrt{121} \) simplifies to \( 473 + 11 \), since \( \sqrt{121} = 11 \). The sum of two rational numbers, \( 473 \) (a rational number) and \( 11 \) (also a rational number), results in another rational number, which is \( 484 \). Therefore, yes, the sum will produce a rational number.