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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!

Use the ALEKS calculator to approximate √46. Round your answer to the nearest hundredth.

Learn how to approximate the square root of 46 and round it to the nearest hundredth. This problem involves concepts such as square roots and rounding rules, suitable for students in Grades 7-9.

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