Question

please solve question 1 to 6

Answer 1

1)
$\frac{4 \sqrt{3} + 5 \sqrt{2} }{ \sqrt{48} + \sqrt{18} } \\ \\ \frac{4 \sqrt{3} + 5 \sqrt{2} }{4 \sqrt{3} + 3 \sqrt{2} } \times \frac{4 \sqrt{3} - 3 \sqrt{2} }{4 \sqrt{3} - 3 \sqrt{2} } \\ \\ \frac{48 + 20 \sqrt{6} - 12 \sqrt{6} - 30}{48 - 18} = \frac{18 + 8 \sqrt{6} }{30} \\ \\ \frac{9 + 4 \sqrt{6} }{15}$

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