Question

Qual é a raiz quadrada de 144?

Answer 1

144: 2; 72: 2; 36: 2; 18:2; 9: 3; 3:3; 1; 2^4.3^2 = √16.√9 = 4.3 = 12; (Resp.: √144 = 12)

Answer 2

Raiz quadrada por fatoração

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

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

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

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