Find the square root of 225 using “Repeated Subtraction”.

• A. 11
• B. 15
• C. 5
• D. 8

To find the square root of 225 using the method of repeated subtraction, we can follow these steps:

Understanding Repeated Subtraction

This method involves subtracting consecutive odd numbers from the number until we reach zero. The number of times we can subtract corresponds to the square root.

Steps to Calculate

• Start with 225.
• Subtract 1 (the first odd number): 225 - 1 = 224
• Subtract 3 (the next odd number): 224 - 3 = 221
• Subtract 5: 221 - 5 = 216
• Continue this process with 7, 9, 11, and so on.

Continuing the Subtraction

Keep subtracting the next odd number until you reach zero. The odd numbers you subtract are:

• 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29

Counting the Steps

After performing this process, you will find that you can subtract a total of 15 odd numbers before reaching zero. Therefore, the square root of 225 is:

15

Thus, the correct answer is B. 15.