Question

como retirar os fatores do radicando e simplificar a expressao ab/2√24/a²b³ ????

Answer 1

Lembre-se:
$\sqrt[n]{m} =m^{ \frac{1}{n} }$
Resolvendo:
$\frac{ \frac{ab}{2 \sqrt{24} } }{a^2b^3} = \frac{ab}{2 \sqrt{24} } . \frac{1}{a^2b^3} = \frac{\diagup\!\!\!\!a\diagup\!\!\!\!b}{2 \sqrt{2^2.6} } . \frac{1}{a^{\diagup\!\!\!\!\!2}{b}\diagup\!\!\!\!^3} =\frac{1}{2.2 \sqrt{6} } . \frac{1}{{ab^2}} = \frac{1}{4ab^2 \sqrt{6} } * \frac{ \sqrt{6} }{ \sqrt{6}} = \\ \\ = \frac{ \sqrt{6}}{24ab^2}$