To find the square root of \( 635.04 \), let's proceed with the calculation:

### Steps:

1. **Consider the Number in Decimal Form**: 
   \[
   \sqrt{635.04}
   \]

2. **Rewrite the Number to Simplify the Square Root**:
   The number 635.04 can be rewritten as:
   \[
   635.04 = 63504 \times 10^{-2}
   \]
   Thus,
   \[
   \sqrt{635.04} = \sqrt{63504 \times 10^{-2}} = \sqrt{63504} \times 10^{-1}
   \]

3. **Calculate the Square Root of 63504**:
   We can use long division or a calculator to find the square root of 63504. The square root is:
   \[
   \sqrt{63504} = 252
   \]

4. **Apply the Decimal**:
   Since we had multiplied by \(10^{-2}\), we place the decimal point appropriately:
   \[
   \sqrt{635.04} = 25.2
   \]

### Final Answer:
\[
\sqrt{635.04} = 25.2
\]

Would you like to understand the method used to find the square root in more detail, or do you have any other questions? Here are some related questions you might consider:

1. How is the long division method used to find square roots?
2. Can square roots be calculated manually for non-perfect squares?
3. What are the common properties of square roots for decimal numbers?
4. How would the calculation change for a number like 0.63504?
5. What is the significance of the decimal point in square root calculations?

**Tip:** When working with square roots of decimal numbers, always remember to adjust the position of the decimal point in your final answer.

Learn how to find the square root of 635.04 with a detailed step-by-step calculation method. This problem covers square roots of decimal numbers and basic arithmetic operations. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation