Question

racionalizar
3/2+v3
v=raiz

Answer 1

$\dfrac{3}{2 + \sqrt{3}}$

Multiplique os termos pelo denominador dar fração:

$\dfrac{3. (2 + \sqrt{3})}{(2 + \sqrt{3}).2 + \sqrt{3})} \\ \\ \\ \dfrac{6 +3 \sqrt{3}}{(2 + \sqrt{3})^2} \\ \\ \\ \dfrac{6 +3 \sqrt{3}}{2^2 +2.2.\sqrt{3} +(\sqrt{3})^2 } \\ \\ \\ \dfrac{6 +3 \sqrt{3}}{4 +4.\sqrt{3} + 3 } \\ \\ \\ \dfrac{6 +3 \sqrt{3}}{7+4.\sqrt{3}} \\ \\ \\ =\ \textgreater \ 6 - 3 \sqrt{3}$