The expression \( \frac{47}{3} + \sqrt{121} \) simplifies to \( \frac{47}{3} + 11 \) since \( \sqrt{121} = 11 \). Both terms are rational numbers, and the sum of two rational numbers is always rational, so the result will indeed be a rational number.
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.
write it in your own words
7 answers
a little more different
The expression \( \frac{47}{3} + \sqrt{121} \) can be rewritten as \( \frac{47}{3} + 11 \), since \( \sqrt{121} \) equals 11. Since both \( \frac{47}{3} \) and 11 are rational numbers, their sum will also be rational.
write it again but different
The expression \( \frac{47}{3} + \sqrt{121} \) simplifies to \( \frac{47}{3} + 11 \) because \( \sqrt{121} \) equals 11. Since both components are rational numbers, their sum will also be rational.
do it again but more different?
In the expression \( \frac{47}{3} + \sqrt{121} \), we can simplify \( \sqrt{121} \) to 11. Thus, we are adding \( \frac{47}{3} \) and 11, both of which are rational numbers, meaning their total will also be a rational number.
1 answer