• Matéria: Matemática
  • Autor: kazoplan
  • Perguntado 6 anos atrás

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

Respostas

respondido por: ViniSouza128
0

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}\\\\\\

\textrm{Considere dar }\star\star\star\star\star\textrm{ e marcar como melhor resposta.}

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