Question

pls coroana ,urgent , acum, pls , rrationalizarea​

Answer 1

Răspuns:

$\frac{23\sqrt{3} }{3}$

Explicație pas cu pas:

$3\sqrt{27} (\frac{2}{\sqrt{3} } + \frac{4}{3\sqrt{3} } - \frac{1}{\sqrt{3} } ) : \sqrt{3} + (\frac{8}{3\sqrt{3} } - \frac{\sqrt{108} }{9} + \frac{4}{\sqrt{3} } ) * \frac{3}{7}$

$= 3*3\sqrt{3} \frac{3*2 + 4 - 3*1}{3\sqrt{3} } *\frac{1}{\sqrt{3} } + (\frac{8}{3\sqrt{3} } - \frac{6\sqrt{3} }{9} + \frac{4}{\sqrt{3} } )*\frac{3}{7}$

$= 9\sqrt{3} \frac{7}{3\sqrt{3}*\sqrt{3} } + (\frac{8}{3\sqrt{3} } - \frac{2\sqrt{3} }{3} + \frac{4}{\sqrt{3} } )*\frac{3}{7}$

$= \frac{63\sqrt{3} }{9} + (\frac{8-2\sqrt{3}*\sqrt{3} +3*4 }{3\sqrt{3} } )*\frac{3}{7}$

$= 7\sqrt{3} + \frac{(8-6+12)*3}{3\sqrt{3}*7 }$

$= 7\sqrt{3} + \frac{14}{7\sqrt{3} }$

$= 7\sqrt{3} + \frac{2}{\sqrt{3} }$

$= 7\sqrt{3} + \frac{2\sqrt{3} }{3}$

$= \frac{21\sqrt{3} + 2\sqrt{3} }{3}$

$= \frac{23\sqrt{3} }{3}$