Question

Racionalize o denominador de cada fração.
3/√2
10/3√5
3/^4√2
1/2+√3
1/√3-√2
Se puderem ajudar eu agradeço

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo-a-passo:

$\mathsf{\dfrac{3}{\sqrt{2}} \times \dfrac{\sqrt{2}}{\sqrt{2}} = \dfrac{3\sqrt{2}}{2}}$

$\mathsf{\dfrac{10}{3\sqrt{5}} \times \dfrac{3\sqrt{5}}{3\sqrt{5}} = \dfrac{30\sqrt{5}}{45} = \dfrac{2\sqrt{5}}{3}}$

$\mathsf{\dfrac{3}{4\sqrt{2}} \times \dfrac{4\sqrt{2}}{4\sqrt{2}} = \dfrac{12\sqrt{2}}{32} = \dfrac{3\sqrt{2}}{8}}$

$\mathsf{\dfrac{1}{2 + \sqrt{3}} \times \dfrac{2 - \sqrt{3}}{2 - \sqrt{3}} = \dfrac{2 - \sqrt{3}}{4 - 3} = 2 - \sqrt{3}}$

$\mathsf{\dfrac{1}{\sqrt{3} - \sqrt{2}} \times \dfrac{\sqrt{3} + \sqrt{2}}{\sqrt{3} + \sqrt{2}} = \dfrac{\sqrt{3} + \sqrt{2}}{3 - 2} = \sqrt{3} + \sqrt{2}}$