Respostas

2014-08-24T20:06:38-03:00
Para resolver raízes, fatore os números dentro delas.

24/2 = 12 \\ 12/2 = 6 \\ 6/2 = 3 \\ 3/3 = 1

81/3 = 27 \\ 27/3 = 9 \\ 9/3 = 3 \\ 3/3 = 1

Portanto:

24 = 2^{3}.3
81 = 3^{3}.3

Assim:

 \sqrt[3]{24} + 3. \sqrt[3]{81} \\ \\   \sqrt[3]{2^{3}.3} + 3. \sqrt[3]{3^{3}.3} \\ \\  2.\sqrt[3]{3} + 3.3 \sqrt[3]{3} \\ \\ 2.\sqrt[3]{3} + 9 \sqrt[3]{3} \\ \\ 11. \sqrt[3]{3}