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)
* Yes, Walter is correct.
* No, both 3.61^2 and 3.62^2 are less than 13.
O No, 3.61^2 is less than 13.
O No, both 3.61^2 and 3.62^2 are greater than 13.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 hours ago

To verify Walter's estimation of \( \sqrt{13} \) being between \( 3.61 \) and \( 3.62 \), we need to calculate \( 3.61^2 \) and \( 3.62^2 \):

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

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

Now we compare these results to 13:

  • \( 3.61^2 = 12.9921 < 13 \)
  • \( 3.62^2 = 13.0644 > 13 \)

From this, we can conclude that \( \sqrt{13} \) falls between \( 3.61 \) and \( 3.62 \).

Walter is correct. The correct answer is: Yes, Walter is correct.