Question

Raiz de um sobre cento e vinte oito
Raiz de um sobre cento e vinte e oito

Answer 1

$\sqrt{\frac{1}{128}}\\\\\\\sqrt{\frac{1}{2~.~2~.~2~.~2~.~2~.~2~.~2}}\\\\\\\sqrt{\frac{1}{2^2~.~2^2~.~2^2~.~2}}\\\\\\\frac{1}{2~.~2~.~2}.\frac{1}{\sqrt{2}}\\\\Racionalizando\\\\\frac{1}{8}.\frac{1}{\sqrt{2}}.\frac{\sqrt{2}}{\sqrt{2}}\\\\\\\frac{1}{8}.\frac{\sqrt{2}}{\sqrt{2}^2}\\\\\\\frac{\sqrt{2}}{8~.~2}\\\\\\\boxed{\frac{\sqrt{2}}{16}}$