Question

a raiz quadrada de 256

Answer 1

256 | 2
128 | 2
  64 | 2
  32 | 2
  16 | 2
    8 | 2
    4 | 2
    2 | 2
    1 | 

√256 = √2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 
√256 = √4 x √4 x √4 x √4
√256 = 2 x 2 x 2 x 2
√256 = 16

Answer 2

$\begin{array}{c|c}\sf256&\sf2\\\sf128&\sf2\\\sf64&\sf2\\\sf32&\sf2\\\sf16&\sf2\\\sf8&\sf2\\\sf4&\sf2\\\sf2&\sf2\\\sf1\end{array}$

$\sf\sqrt{256}=\sqrt{2^2\cdot2^2\cdot2^2\cdot2^2}$

$\sf\sqrt{256}=2\cdot2\cdot2\cdot2$

$\boxed{\boxed{\sf \sqrt{256}=16}}$