Question

Racinalizando denominador da fraçao 5/6√16+6√196+³√49, obtemos ?

Answer 1

Lembrar da relação:

$a^\frac{m}{n} \ \textless \ =\ \textgreater \ \sqrt[n]{a^m}$

===

$\frac{5}{6}. \sqrt{16} + 6. \sqrt{196} + \sqrt[3]{49} \\ \\ \\ \frac{5}{6}. \sqrt{2^4} + 6. \sqrt{2^2 . 7^2} + 7^\frac{2}{3} \\ \\ \\ \frac{5}{6}. 2^2 + 6. 2 . 7 + 7^\frac{2}{3} \\ \\ \\ \frac{5}{6}. 4 + 84 + 7^\frac{2}{3} \\ \\ \\ \dfrac{5*4}{6} + 84 + \sqrt[3]{7}^2 \\ \\ \\ \dfrac{10}{3} + 84 + \sqrt[3]{7}^2 \\ \\ \\ =\ \textgreater \ \dfrac{3 .\sqrt[3]{7}^2 + 262}{3}$