How can you rewrite 9 1/3

Question

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!