Question

simplify;4 √3+5 √2 by √46 +√18

Answer 1

$\frac{4 \sqrt{3} + 5 \sqrt{2} }{ \sqrt{46} + \sqrt{18} } \\ \\ \frac{4 \sqrt{3} + 5 \sqrt{2} }{ \sqrt{46} + 3 \sqrt{2} } \times \frac{ \sqrt{46 } - 3 \sqrt{2} }{\sqrt{46 } - 3 \sqrt{2}} \\ \\ \frac{4 \sqrt{138} + 10 \sqrt{23} - 12 \sqrt{6} - 30 }{46 - 18} \\ \\ \frac{4 \sqrt{138 } + 10 \sqrt{23 } - 12 \sqrt{6} - 30 }{28} \\ \\ \frac{2 \sqrt{138} + 5 \sqrt{23} - 6 \sqrt{6} - 15 }{14}$
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