Question

qual é a raiz quadrada de 144

Answer 1

√144 = √2² × √2² × √3² = 12
144 2
 72  2
 36  2
 18  2
  9   3
  3   3
  1

Answer 2

Raiz quadrada por fatoração

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

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

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

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