Ensino Fundamental ⇒ ráiz com duas variáveis Tópico resolvido

[beagle]

[tex3]\sqrt{\frac{(x+y)^2-4xy}{2x-2y}}[/tex3]

[Natan]

Oi,

[tex3]\sqrt{\frac{(x+y)^2-4xy}{2x-2y}}=\sqrt{\frac{x^2+2xy+y^2-4xy}{2(x-y)}}=\sqrt{\frac{(x-y)^2}{2(x-y)}}=\sqrt{\frac{(x-y)}{2}}=\frac{\sqrt{2(x-y)}}{2}[/tex3]

[ALDRINMOD]

[tex3]\sqrt{\frac{x^2+y^2+2xy-4xy}{2(x-y)}}=[/tex3]
[tex3]=\sqrt{\frac{x^2+y^2-2xy}{2(x-y)}}=[/tex3]
[tex3]=\sqrt{\frac{(x-y)(x-y)}{2(x-y)}}=[/tex3]
[tex3]=\sqrt{\frac{x-y}{2}}=[/tex3]
[tex3]=\frac{\sqrt{x-y}}{\sqrt{2}}=[/tex3]
[tex3]=\frac{\sqrt{2(x-y)}}{2}[/tex3]