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1. যদি x = √ 3 + √ 2 হয়, তবে x² + 1/x² এর মান কত?

Answer: Option A

Explanation:

দেওয়া আছে, x = \sqrt{3} + \sqrt{2} \frac{1}{x} = \frac{1}{\sqrt{3} + \sqrt{2}} = \frac{\sqrt{3} - \sqrt{2}}{(\sqrt{3} + \sqrt{2}) (\sqrt{3} - \sqrt{2})} = \frac{\sqrt{3} - \sqrt{2}}{3 - 2} = \sqrt{3} - \sqrt{2} x + \frac{1}{x} = \sqrt{3} + \sqrt{2} + \sqrt{3} - \sqrt{2} = 2 \sqrt{3} x^{2} + \frac{1}{x^{2}} = {(x + \frac{1}{x})}^{2} - 2 . x . \frac{1}{x} = {(2 \sqrt{3})}^{2} - 2 = 12 - 2 = 10

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