Question

Qual a raiz quadrada de 144?

Answer 1

Resp.:√144 = 12

Fatoração:

144: 2
72: 2
36: 2
18: 2
9: 3
3: 3
1

2.2.2.2.3.3 = 2.2.3  . 2.2.3 = 12. 12 = 144
  
                     12   .   12

Answer 2

Raiz quadrada por fatoração

$\begin{array}{r|l}\sf144&\sf2\\\sf72&\sf2\\\sf36&\sf2\\\sf18&\sf2\\\sf9&\sf3\\\sf3&\sf3\\\sf1\end{array}$

$\mathsf{ \sqrt{144}=\sqrt{2^2\cdot2^2\cdot3^2}}$

$\mathsf{ \sqrt{144}=2\cdot2\cdot3}$

$\boxed{\boxed{\mathsf{ \sqrt{144}=12}}}$