Question

me ajudem por favor
Racionalize as frações​

Answer 1

Oie, tudo bom?

$= \frac{1}{3 - \sqrt{6} }$

$= \frac{1}{3 - \sqrt{6} } \: . \: \frac{3 + \sqrt{6} }{3 + \sqrt{6} }$

$= \frac{1(3 + \sqrt{6} )}{(3 - \sqrt{6} ) \: . \: (3 + \sqrt{6} )}$

$= \frac{ 3 + \sqrt{6} }{3 {}^{2} - \sqrt{6} {}^{2} }$

$= \frac{3 + \sqrt{6} }{3 - 9}$

$\boxed{ = \frac{3 + \sqrt{6} }{3} }$

Att. NLE Top Shotta