Question

aplicando a propriedade distributiva determine o produto abaixo (2√2+2).(2-√2)​

Answer 1

Resposta:

Olá bom dia!

$(2\sqrt{2} + 2) * (2-\sqrt{2} )$

$=2*2\sqrt{2}-2\sqrt{2}*\sqrt{2} +2*2-2\sqrt{2}$

$=4\sqrt{2}-2\sqrt{2*2} +4-2\sqrt{2}$

$=4\sqrt{2}-2\sqrt{4} +4-2\sqrt{2}$

$=4\sqrt{2}-2*2 +4-2\sqrt{2}$

$=4\sqrt{2}-4 +4-2\sqrt{2}$

$=4\sqrt{2}-2\sqrt{2}$

$2\sqrt{2}$