Question

Evaluate with steps​

Answer 1

Answer:

$\frac{ \frac{1}{2} + 1 + \frac{2}{ \sqrt{3} } }{ \frac{2}{ \sqrt{3} } + \frac{1}{2} + 1 } \\ </p><p></p><p></p><p> =\frac{ \frac{ \sqrt{3} + 2 \sqrt{3} + 4}{2 \sqrt{3} } }{ \frac{4 + \sqrt{3} + 2 \sqrt{3} }{2 \sqrt{3} } } \\ </p><p></p><p></p><p>= \frac{ \sqrt{3 } + 2 \sqrt{3} + 4 }{2 \sqrt{3} } \times \frac{2 \sqrt{3} }{4 + \sqrt{3} + 2 \sqrt{3} } \\ </p><p></p><p> \frac{3 \sqrt{3} + 4 }{4 + 3 \sqrt{3} } \\</p><p> \frac{4 + 3 \sqrt{3} }{4 + 3 \sqrt{3} } \times \frac{4 - 3 \sqrt{3} }{4 - 3 \sqrt{3} } \\ \\ \frac{ {4}^{2} - ({3 \sqrt{3} )}^{2} }{ {4}^{2} -( {3 \sqrt{3} }^{2} )} \\ \frac{16 - 9 \times 3}{16 - 9 \times 3} \\ \frac{16 - 27}{16 - 27} \\ \frac{ -( 11)}{ - (11)} \\ \frac{11}{11} = 1$

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