3+√(2)3 √(2)+3 √(2)3+√(2) (3+√(2))^2+(3 √(2))^2(3+√(2))(3 √(2)) 9+2+2√(2)+9+2 2√(2)9 2=227 ...

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Roots of Quadratic Equation

Solve 3+√23...

Question

Solve $\frac{3 + \sqrt{2}}{3 - \sqrt{2}} + \frac{3 - \sqrt{2}}{3 + \sqrt{2}}$

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Solution

$\frac{3 + \sqrt{2}}{3 - \sqrt{2}} + \frac{3 - \sqrt{2}}{3 + \sqrt{2}} \frac{(3 + \sqrt{2})^{2} + (3 - \sqrt{2})^{2}}{(3 + \sqrt{2}) (3 - \sqrt{2})} \frac{9 + 2 + 2 \sqrt{2} + 9 + 2 - 2 \sqrt{2}}{9 - 2} = \frac{22}{7}$

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