Question

Simplify
(2√6/√2+√3)+(6√2/√6+√3)-(8√3/6+√2)

Answer 1

Answer:

1.71✔✔

Step-by-step explanation:

$( \frac{2 \sqrt{6} }{ \sqrt{2} + \sqrt{3} }) + ( \frac{6 \sqrt{2} }{ \sqrt{6} + \sqrt{3} } ) - ( \frac{8 \sqrt{3} }{6 + \sqrt{2} } ) \\ = ( \frac{2 \sqrt{6} }{ \sqrt{2} + \sqrt{3} } \times \frac{ \sqrt{2} - \sqrt{3} }{ \sqrt{2} - \sqrt{3} } ) + ( \frac{6 \sqrt{2} }{ \sqrt{6} + \sqrt{3} } \times \frac{ \sqrt{6} - \sqrt{3} }{ \sqrt{6} - \sqrt{3} }) - ( \frac{8 \sqrt{3} }{6 + \sqrt{2} } \times \frac{6 - \sqrt{2} }{6 - \sqrt{2} } ) \\ = (\frac{2 \sqrt{12 } - 2 \sqrt{18} }{ - 1} ) + ( \frac{6 \sqrt{12} - 6 \sqrt{6} }{3} ) - \frac{48 \sqrt{3} - 8 \sqrt{6} }{34} \\ = \frac{ - 1.55}{ - 1} + \frac{6.08}{3} - \frac{63.54}{34} \\ = 1.55 + 2.02 - 1.86 \\ = 1.71$