**Question:**
Find the square root of the following correct three decimal place worksheet 5 chapter 1 question 4.

**Answer:**

To find the square root of the given number, we can use the long division method or the prime factorization method. Let's use the long division method.

**Long Division Method:**
1. Start with the given number.
2. Separate the number into pairs from the right, starting with the decimal point. If there is an odd number of digits, the leftmost digit will form a pair by itself.
3. Find the largest perfect square less than or equal to the leftmost pair. In this case, the largest perfect square less than or equal to 32 is 25.
4. Write the square root of the perfect square found in step 3 as the first digit of the answer.
5. Subtract the product of this digit and the perfect square from the leftmost pair and bring down the next pair.
6. Double the digit found in step 4, and write it as the next digit in the quotient.
7. Find the largest possible digit to fill in the blank, such that when the new divisor is multiplied by this digit, the product is less than or equal to the new dividend.
8. Write this digit as the next digit in the quotient.
9. Repeat steps 5-8 until all the pairs have been used.
10. The final quotient obtained is the square root of the given number.

Now, let's apply these steps to find the square root of the given number.

Given number: 32

Step 1: Separate the number into pairs - 3, 2

Step 2: Find the largest perfect square less than or equal to 3 - 1

Step 3: Write the square root of the perfect square - 1

Step 4: Subtract the product of 1 and 1 from 3 - 2

Step 5: Bring down the next pair - 2

Step 6: Double the digit found in step 3 - 2 * 2 = 4

Step 7: Find the largest possible digit to fill in the blank - 4

Step 8: Write this digit as the next digit in the quotient - 14

Step 9: Repeat steps 5-8 until all the pairs have been used.

Step 10: The final quotient obtained is the square root of the given number - √32 = 5.656

Therefore, the square root of 32 correct to three decimal places is 5.656.

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