Question

rationalise 5 root 2 upon (7 - root 3)​

Answer 1

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Answer 2

$\frac{5 \sqrt{2} }{7 - \sqrt{3} } \\ \\ = > \frac{5 \sqrt{2} }{7 - \sqrt{3} } \times \frac{7 + \sqrt{3} }{7 + \sqrt{3} } \\ \\ = > \frac{35 \sqrt{2} + 5 \sqrt{6} }{ {(7)}^{2} - { (\sqrt{3} )}^{2} } \\ \\ = > \frac{35 \sqrt{2} + 5 \sqrt{6} }{49 - 3} \\ \\ = > \frac{35 \sqrt{2} + 5 \sqrt{6} }{46}$