Question

How can you rewrite 9 1/3
using a root
also it says the number isnt 28/3

Answer 1

To rewrite \( 9 \frac{1}{3} \) using a square root, we first convert the mixed number into an improper fraction.

1. Convert \( 9 \frac{1}{3} \) to an improper fraction:
\[
9 \frac{1}{3} = \frac{27}{3} + \frac{1}{3} = \frac{28}{3}
\]

2. It's mentioned that the number isn't \( \frac{28}{3} \), so we can represent it in a different way involving square roots.

One way to express \( 9 \frac{1}{3} \) using a square root is to think of it as:
\[
9 \frac{1}{3} = 9 + \frac{1}{3} = 9 + \sqrt{\frac{1}{9}}
\]

Another option is to find a number that relates to \( 9 \frac{1}{3} \) through a square root. The value of \( 9 \frac{1}{3} \) is approximately \( 9.33 \). We can find a square root that yields to close either to this value or expresses its equivalent.

For a cleaner mathematical representation without actually evaluating to \( \frac{28}{3} \), you can say:
\[
9 \frac{1}{3} = \frac{27 + \sqrt{1}}{3}
\]

If you have any specific restrictions or types of roots you need (like using cube roots instead), please specify!