Question

Racionalizando o denominador da expressão (√3-√2)/(√3+√2)

Preciso de tudo explicadinho

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{\left(\dfrac{\sqrt{3} - \sqrt{2}}{\sqrt{3} + \sqrt{2}}\right)}$

$\mathsf{\left(\dfrac{\sqrt{3} - \sqrt{2}}{\sqrt{3} + \sqrt{2}}\right).\left(\dfrac{\sqrt{3} - \sqrt{2}}{\sqrt{3} - \sqrt{2}}\right)}$

$\mathsf{\left(\dfrac{(\sqrt{3} - \sqrt{2})^2}{(\sqrt{3} + \sqrt{2}).(\sqrt{3} - \sqrt{2})}}\right)}$

$\mathsf{\left(\dfrac{(\sqrt{3})^2 - 2\sqrt{3}\sqrt{2} + (\sqrt{2})^2}{(\sqrt{3})^2 - (\sqrt{2})^2}\right)}$

$\mathsf{\left(\dfrac{(3 - 2\sqrt{6} + 2}{3 - 2}\right)}$

$\boxed{\boxed{\mathsf{\left(\dfrac{\sqrt{3} - \sqrt{2}}{\sqrt{3} + \sqrt{2}}\right) = 5 - 2\sqrt{6}}}}$