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Rationalise the denominator and simplify under root 7 + under root 2 by 9 + 2 under root 14

Answer» HELLO MATE!

\frac{ \sqrt{7} + \sqrt{2} }{9 + 2 \sqrt{14} } \\ \\ rationalize \\ \\ \frac{ \sqrt{7} + \sqrt{2} }{9 + 2 \sqrt{14} } \times \frac{9 - 2 \sqrt{14} }{9 - 2 \sqrt{14} } \\ \frac{9 \sqrt{7} - 2 \sqrt{98} + 9 \sqrt{2} - 2 \sqrt{28} }{81 - 56} \\ \sqrt{98 } = \sqrt{2 \times 7 \times 7} = 7 \sqrt{2} \\ \sqrt{28} = \sqrt{2 \times 2 \times 7} = 2 \sqrt{7} \\ \frac{9 \sqrt{7} - 14 \sqrt{2} + 9 \sqrt{2} - 4 \sqrt{7} }{25} \\ \frac{5 \sqrt{7} - 5 \sqrt{2} }{25} = \frac{5 \sqrt{7} }{25} - \frac{5 \sqrt{2} }{25} \\ \frac{ \sqrt{7} - \sqrt{2} }{5}

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