Question

rezolvarea completa. mulțumesc

Answer 1

$(\frac{1}{2 \sqrt{3} } + \frac{5}{ \sqrt{27} }) \times \frac{3}{ \sqrt{13} } \\ \\ ( \frac{1}{2 \sqrt{3} } + \frac{5}{3 \sqrt{3} }) \times \frac{3}{ \sqrt{13} } \\ \\ ( \frac{ \sqrt{3} }{2 \times 3} + \frac{5}{ 3\sqrt{3} }) \times \frac{3}{ \sqrt{13} } \\ \\ ( \frac{ \sqrt{3} }{6} + \frac{5}{3 \sqrt{3} }) \times \frac{3}{ \sqrt{13} } \\ \\ ( \frac{ \sqrt{3} }{6} + \frac{5 \sqrt{3} }{3 \times 3}) \times \frac{3}{ \sqrt{13} } \\ \\ ( \frac{ \sqrt{3} }{6} + \frac{5 \sqrt{3} }{9}) \times \frac{3}{ \sqrt{13} } \\ \\ \frac{13 \sqrt{3} }{18} \times \frac{3} {\sqrt{13} } \\ \\ \frac{13 \sqrt{3} \times 3 \sqrt{13} }{18 \times 13} \\ \\ \frac{39 \sqrt{3 \sqrt{13} } }{18 \times 13} \\ \\ \frac{39 \sqrt{39} }{234} = \frac{ \sqrt{39} }{6}$

Answer 2

Rationalizam
[√3/6+(5√3/9)]*√3/13=
(Aducem paranteza la numitorul comun 18; amplificam prima fractie cu 3 si a doua cu 2.)
=(13√3/18)*√3/13
(Simplificam 13 cu 13)
=3/18=1/6