Question

Raiz quadrada de 128

Answer 1

Raiz quadrada por fatoração

$\begin{array}{r|l}\sf128&\sf2\\\sf64&\sf2\\\sf32&\sf2\\\sf16&\sf2\\\sf8&\sf2\\\sf4&\sf2\\\sf2&\sf2\\\sf1\end{array}$

$\mathsf{\sqrt{128}=\sqrt{2^2\cdot2^2\cdot2^2\cdot2 }}$

$\mathsf{\sqrt{128}=2\cdot2\cdot2\sqrt2 }$

$\boxed{\boxed{\mathsf{ \sqrt{128}=8\sqrt2}}}$