\( \sqrt{844} = \sqrt{4 \times 211} = 2\sqrt{211} \).
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- \( n=13.6 \): \( 13.6 \times 15.6 = 211.84 \), too high. So no exact integer.
- \( \sqrt{844} = 2\sqrt{211} \approx 29.0526 \), so \( n \approx \frac{27.0526}{2} \approx 13.526 \). Not integer.
- \( n = \frac{ -2 \pm \sqrt{4 + 840} }{2} = \frac{ -2 \pm \sqrt{844} }{2} \).
- \( \sqrt{211} \approx 14.525 \), so \( n \approx \frac{27.05}{2} = 13.525 \).
- \( n = \frac{ -2 + \sqrt{844} }{2} = -1 + \sqrt{211} \), not integer.
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