Question

Racionalize e simplifique
a) 10 b) 6
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√10 √2

Answer 1

Explicação passo-a-passo:

a)

$\dfrac{10}{\sqrt{10}} \\\\\\=\dfrac{10}{\sqrt{10}} \times 1 \\\\\\=\dfrac{10}{\sqrt{10}} \times \dfrac{\sqrt{10}}{\sqrt{10}} \\\\\\=\dfrac{10\times\sqrt{10}}{\sqrt{10}\times\sqrt{10}} \\\\\\=\dfrac{10\sqrt{10}}{\sqrt{10}^2} \\\\\\=\dfrac{10\sqrt{10}}{10} \\\\\\=\sqrt{10}$

b)

$\dfrac{6}{\sqrt{12}} \\\\\\=\dfrac{6}{\sqrt{2}} \times 1 \\\\\\=\dfrac{6}{\sqrt{2}} \times \dfrac{\sqrt{2}}{\sqrt{2}} \\\\\\=\dfrac{6\times\sqrt{2}}{\sqrt{2}\times\sqrt{2}} \\\\\\=\dfrac{6\sqrt{2}}{\sqrt{2}^2} \\\\\\=\dfrac{6\sqrt{2}}{2} \\\\\\=3\sqrt{2}$

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