$$ \sqrt{\left(\frac{91.3}{10.1}\right)} $$

To solve the expression $\sqrt{\left(\frac{91.3}{10.1}\right)}$, we need to follow these steps:

1. **Divide $91.3$ by $10.1$**:
   \[
   \frac{91.3}{10.1} = 9.04
   \]

2. **Take the square root of the result**:
   \[
   \sqrt{9.04}
   \]

3. **Calculate the square root**:
   \[
   \sqrt{9.04} \approx 3
   \]

Thus, the value of the expression is approximately $3$.

Would you like more details or have any questions?

Here are some related questions you might find helpful:

1. How do you simplify a fraction before taking the square root?
2. What are the properties of square roots?
3. How can you approximate square roots without a calculator?
4. What are some common mistakes to avoid when working with square roots?
5. How do you handle square roots of negative numbers?
6. Can the square root function be applied to complex numbers?
7. How do you verify the result of a square root calculation?
8. What are some real-world applications of square roots?

**Tip:** When dealing with square roots, remember that the square root of a number $x$ is a value $y$ such that $y^2 = x$.

Learn how to calculate the square root of 91.3 divided by 10.1 step-by-step. This problem involves square roots and fraction simplification. Suitable for students in Grades 7-9.

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