Question

Simplifique a raidical de
√576

Answer 1

$\Large\boxed{\begin{array}{l}\begin{array}{c|c}\sf576&\sf2\\\sf288&\sf2\\\sf144&\sf2\\\sf72&\sf2\\\sf36&\sf2\\\sf18&\sf2\\\sf9&\sf3\\\sf3&\sf3\\\sf1\end{array}\\\sf576=2^2\cdot2^2\cdot2^2\cdot3^2\\\sf\sqrt{576}=\sqrt{2^2\cdot2^2\cdot2^2\cdot3^2}\\\sf\sqrt{576}=2\cdot2\cdot2\cdot3\\\sf\sqrt{576}=24\end{array}}$

Answer 2

Resposta:

Explicação passo a passo:

Aqui temos que o radicando é 576.

Fatorando 576 encontramos: 576 = 2⁶.3².

Então, temos que:

\sqrt{576} = \sqrt{2^{6} . 3^{2}  } = \sqrt{2^{6} } . \sqrt{3^{2} }  = 2^{3} . 3 = 8 .3 = 24

.