Question

qual a raiz quadrada de 32 método de fatoração

Answer 1

Fatorando 32:

32 | 2
16 | 2
  8 | 2
  4 | 2
  2 | 2      
  1 |  2^5

$\sqrt{32} \to~~~ \sqrt{2^2.2^2.2} \to~~~2.2 \sqrt{2} \to~~~ \large\boxed{~ 4 \sqrt{2} ~}$

Answer 2

Fatorando o número 32:

$\begin{array}{ccc}32&|&2\\16&|&2\\\ \ 8&|&2\\\ \ 4&|&2\\\ \ 2&|&2\\\ \ 1&|&\end{array}\\\\\\ \Rightarrow 2 \times 2 \times 2 \times 2 \times 2= 2^2 \times 2^2 \times 2\\\\\\ Resolvendo:\\\\ \sqrt[2]{2^2 \times 2^2 \times 2}\\\\ = \sqrt[2]{2^2} \times \sqrt[2]{2^2} \times \sqrt[2]{2}\\\\ = \sqrt[\not2]{2^{\not2}} \times \sqrt[\not2]{2^{\not2}} \times \sqrt[2]{2}\\\\ = 2 \times 2 \times \sqrt[2]{2}\\\\ = 4 \times \sqrt[2]{2}\\\\ \boxed{= 4\sqrt[2]{2}}$


Espero ter ajudado.
Bons estudos!