Question

Dado A= 16√2⁷ e B= 16√2⁹, faça o que se pede.
A) Determine o quociente a/b na forma de um único radical.​

Answer 1

$a = 16\sqrt{2^2.2^2.2^2.2} = 16.2.2.2\sqrt{2} = 128\sqrt{2} \\\\b= 16\sqrt{2^2.2^2.2^2.2^2.2} = 256\sqrt{2} \\\\\frac{128\sqrt{2} }{256\sqrt{2} } = \frac{128}{256} :2 = \frac{64}{128} :2 = \frac{32}{64} :2 = \frac{16}{32} :2 = \frac{8}{16} :2 = \frac{4}{8} :2 = \frac{2}{4} :2 = \frac{1}{2}$