Question

qual a raiz quadrada de 256

Answer 1

Oi,

Resolução

Fatorando em primos :

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

√ 2^2 • 2^2 • 2^2 • 2^2 = 2 • 2 • 2 • 2 = 16

Portanto, √256 = 16

Espero ter ajudado e bons estudos !

Answer 2

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

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

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

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