Question

Determinar o valor de x na igualdade a seguir: 1 / 3 = ( √ 3 ) x

Answer 1

$\frac{1}{3}~=~(\sqrt{3})x\\\\\\x~=~\frac{1}{3.\sqrt{3}}\\\\\\Racionalizando\\\\\\x~=~\frac{1}{3\sqrt{3}}~.~\frac{\sqrt{3}}{\sqrt{3}}\\\\\\x~=~\frac{1~.~\sqrt{3}}{3\sqrt{3}\,^2}\\\\\\x~=~\frac{\sqrt{3}}{3~.~3}\\\\\\\boxed{x~=~\frac{\sqrt{3}}{9}}$