To approximate $\sqrt{46}$, you can use a calculator.

$\sqrt{46} \approx 6.78233$

Rounding this to the nearest hundredth, the result is:

$\sqrt{46} \approx 6.78$

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

1. How would you approximate the square root of non-perfect squares without a calculator?
2. What is the difference between rounding to the nearest hundredth versus rounding to the nearest tenth?
3. Can you explain why $\sqrt{46}$ is not a whole number?
4. How do you calculate square roots using long division method?
5. What are some real-world applications of square roots?

Tip: When rounding, look at the third decimal place to decide whether to round up or down!