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This is of mathematics please solve the 31st question

D e a r s t u d e n t, 31 . \frac{(3 + i \sqrt{5}) (3 - i \sqrt{5})}{(\sqrt{3} + i \sqrt{2}) - (\sqrt{3} - i \sqrt{2})} = \frac{{(3)}^{2} - {(i \sqrt{5})}^{2}}{\sqrt{3} + i \sqrt{2} - \sqrt{3} + i \sqrt{2}} = \frac{9 + 5}{i 2 \sqrt{2}} = \frac{14}{i 2 \sqrt{2}} \times \frac{i}{i} = \frac{7 i}{\sqrt{2} i^{2}} = \frac{- 7 i}{\sqrt{2}} = \frac{- 7 \sqrt{2} i}{2} R e g a r d s

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