Question

3 / 4√5-√3 + 2/ 4√5+√3

Answer 1

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Answer 2

$\frac{3}{4 \sqrt{5} - \sqrt{3} } + \frac{2}{ 4 \sqrt{5} + \sqrt{3} } \\ \frac{3}{4 \sqrt{5} - \sqrt{3} } \times \frac{4 \sqrt{5} + \sqrt{3}}{ 4 \sqrt{5} + \sqrt{3}} + \frac{2}{ 4 \sqrt{5} + \sqrt{3} } \times \: \frac{{ 4 \sqrt{5} - \sqrt{3} }}{ { 4 \sqrt{5} - \sqrt{3} } } \ \\ \frac{12 \sqrt{5} + 3 \sqrt{3} }{(4 \sqrt{5}) ^{2} - ( \sqrt{3} ) ^{2} } + \frac{8 \sqrt{5} - 2 \sqrt{3} }{(4 \sqrt{5}) ^{2} - ( \sqrt{3})^{2} } \\ \frac{12 \sqrt{5} + 3 \sqrt{3} }{80 - 3} + \frac{8 \sqrt{5} - 2 \sqrt{3} }{80 - 3} \\ \frac{12 \sqrt{5} + 3 \sqrt{3} }{77} + \frac{8 \sqrt{5} - 2 \sqrt{3} }{77} \\ \frac{12 \sqrt{5} + 3 \sqrt{3} + 8 \sqrt{5} - 2 \sqrt{3} }{77} \\ \frac{20 \sqrt{5} + \sqrt{3} }{77}$