Question

Gostaria de saber como se resolve, grato
Simplifique (√1200 / √2) / √3 =

Answer 1

$\frac{\frac{\sqrt{1200} }{\sqrt{2} } }{\sqrt{3}} = \frac{\frac{\sqrt{1200} }{\sqrt{2} } }{\frac{ \sqrt{3}}{1}} = \frac{\sqrt{1200}.1}{\sqrt{2}.\sqrt{3}} = \frac{\sqrt{1200}}{\sqrt{6}} = \sqrt{(\frac{1200}{6})} = \sqrt{200} = \sqrt{2.100} = \sqrt{2}.\sqrt{100} = \\\\\boxed{10\sqrt{2}}$

Answer 2

Resposta:

10√2

Explicação passo-a-passo:

$\frac{\sqrt{1200} }{\frac{\sqrt{2} }{\sqrt{3} } } = \frac{\sqrt{20^2.3} }{\frac{\sqrt{2} }{\sqrt{3} } } =\frac{20\sqrt{3} }{\frac{\sqrt{2} }{\sqrt{3} } } = \frac{20\sqrt{3} }{\sqrt{2} }  . \frac{1}{\sqrt{3} } = \frac{20}{\sqrt{2} } .\frac{\sqrt{2} }{\sqrt{2} } = \frac{20\sqrt{2} }{2} = 10\sqrt{2}$