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1. $m = 7 - 4 \sqrt{3}$

Answer: Option B

Explanation:

দেওয়া আছে, m = 7 - 4 \sqrt{3} বা, m = 4 - 4 \sqrt{3} + 3 বা, m = {(2)}^{2} - 2.2 . \sqrt{3} + {(\sqrt{3})}^{2} বা, m = {(2 - \sqrt{3})}^{2} বা, \sqrt{m} = 2 - \sqrt{3} ∴ \frac{1}{m} = \frac{1}{2 \sqrt{3}} = \frac{2 + \sqrt{3}}{(2 - \sqrt{3}) (2 + \sqrt{3})} = \frac{2 + \sqrt{3}}{4 - 3} = 2 + \sqrt{3} ∴ \sqrt{m} + \frac{1}{\sqrt{m}} = 2 - \sqrt{3} + 2 + \sqrt{3} = 4 (Ans .)

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