Walter is using the iterative process to determine that 13−−√ is between 3.61 and 3.62. Analyze Walter's estimation. Is he correct? If not, what mistake did he make?(1 point) Responses No, 3.612 is less than 13. No, 3 point 6 1 squared is less than 13. Yes, Walter is correct. Yes, Walter is correct. No, both 3.612 and 3.622 are less than 13. No, both 3 point 6 1 squared and 3 point 6 2 squared are less than 13. No, both 3.612 and 3.622 are greater than 13.

Answer 1

To analyze Walter's estimation that \(\sqrt{13}\) is between 3.61 and 3.62, we need to check the squares of these numbers:

1. Calculate \(3.61^2\): \[ 3.61^2 = 12.9921 \]

2. Calculate \(3.62^2\): \[ 3.62^2 = 13.0644 \]

From this, we can see that:

• \(3.61^2 = 12.9921\) (which is less than 13)
• \(3.62^2 = 13.0644\) (which is greater than 13)

Since \(12.9921 < 13 < 13.0644\), it confirms that \(\sqrt{13}\) falls between 3.61 and 3.62.

Thus, Walter's estimation is correct. The appropriate response would be: Yes, Walter is correct.