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Answer:
Step-by-step explanation:
[tex]\frac{\sqrt{2} +1}{3-\sqrt{2} } \\=\frac{\sqrt{2} +1}{3-\sqrt{2} } \times \frac{3+\sqrt{2} }{3+\sqrt{2} } \\=\frac{3\sqrt{2} +2+3+\sqrt{2} }{3^2-2} \\=\frac{5+4\sqrt{2} }{7}[/tex]