Question

Verifique a expressão e assinale a alternativa CORRETA: racionalizando 2/ 3√2 obtemos

Answer 1

2/3√2 · (√2/√2) = (2√2)/(3√2·√2) = 2√2/6 = (√2)/3

2·√2 = 2√2
3√2·√2 = 3√4 = 3(2) = 6

Answer 2

$\dfrac{2}{3 \sqrt{2}} \\ \\ \\ \dfrac{2 \cdot (3 \sqrt{2})}{(3 \sqrt{2}) . (3 \sqrt{2})} \\ \\ \\ \dfrac{6\sqrt{2}}{(3 \not\sqrt{2})^\not2} \\ \\ \\ \dfrac{6\sqrt{2}}{9 * 2} \\ \\ \\ \dfrac{6\sqrt{2}}{18} \\ \\ \\ =\ \textgreater \ \dfrac{\sqrt{2}}{3}$