To verify Walter's estimation of \( \sqrt{13} \) being between \( 3.61 \) and \( 3.62 \), we need to calculate \( 3.61^2 \) and \( 3.62^2 \):
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Calculate \( 3.61^2 \): \[ 3.61^2 = 12.9921 \]
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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.