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The value of \( \sqrt{37} \) is given as 6.0827625, correct to 7 decimal places.

To round this to 4 decimal places, we need to round the number 6.0827625 to the nearest digit in the fourth decimal place:

- 6.0827 (since the fifth decimal is 6, we round up the fourth decimal from 6 to 7).

Therefore, the value of \( \sqrt{37} \) correct to 4 decimal places is **6.0828**.

Would you like further details or have any questions? 

Here are 5 related questions to practice:

1. What is the value of \( \sqrt{50} \) correct to 4 decimal places?
2. How would you round \( \pi = 3.14159265 \) to 5 decimal places?
3. Calculate \( \sqrt{45} \) and round it to 3 decimal places.
4. If \( \sqrt{2} = 1.4142136 \), what is its value rounded to 3 decimal places?
5. How would you round 7.56789 to 2 decimal places?

**Tip:** When rounding, always check the next digit after the last required decimal place. If it's 5 or higher, round up.

Write the value of √37 correct to 4 decimal places.

Learn how to round the square root of 37 to 4 decimal places. This example demonstrates key mathematical concepts, such as calculating square roots and applying rounding rules. Suitable for students in Grades 6-8.

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