Question

Ajutati-maa rapidddd
(1supra 2√3 + 5supra √27) inmultit cu √3/13

Answer 1

Trebuie sa rationalizezi si o sa obtii:
$(\frac{2 \sqrt{3} }{4*3 } + \frac{5\sqrt{27}}{ 27 } ) \frac{ \sqrt{3} }{13} = (\frac{2 \sqrt{3} }{12 } + \frac{15\sqrt{3}}{ 27 } ) \frac{ \sqrt{3} }{13} = (\frac{ \sqrt{3} }{4 } + \frac{5\sqrt{3}}{ 9 } ) \frac{ \sqrt{3} }{13}$  = $\frac{ 9\sqrt{3} + 20\sqrt{3} }{36} * \frac{ \sqrt{3} }{13} = \frac{29 \sqrt{3} }{36} * \frac{ \sqrt{3} }{13} = \frac{29*3}{36*13} = \frac{29}{12*13} = \frac{29}{156}$