Question

Qual é o resultado na forma simplificada de raiz de 96 dividido por raiz de 12

Answer 1

96^(1/2) / 12^(1/2)

(96/12)^(1/2)

8^(1/2)

(2*2*2)^(1/2)

(2^2 * 2)^(1/2)

2 * 2^(1/2)

Answer 2

Resposta:

$2\sqrt{2}$

Explicação passo-a-passo:

$\frac{\sqrt{96} }{\sqrt{12} } \\\\\\96|2\\48|2\\24|2\\12|2\\6|2\\3|3\\=\sqrt{2^{2} } .\sqrt{2^{2} } .\sqrt{3} .\sqrt{2}$

$12|2\\6|2\\3|3\\=\sqrt{2^{2} } .\sqrt{3}$

logo temos que...

$\sqrt{96} = 4\sqrt{3} \sqrt{2} \\\\\\\sqrt{12} = 2\sqrt{3}$

portanto...

$\frac{4\sqrt{3} \sqrt{2} }{2\sqrt{3} }$

$\frac{4\sqrt{2} }{2} \\\\ 2\sqrt{2}$