Question

O quadrado do número √[2 + √3] + √[2 - √3] é:

Answer 1

Resposta:

Explicação passo-a-passo:

$(\sqrt{2+\sqrt{3}}+\sqrt{2-\sqrt{3}})^{2}=\\\\=2+\sqrt{3}+2.(\sqrt{2+\sqrt{3}}).(\sqrt{2-\sqrt{3}})+2-\sqrt{3}=\\\\\\=4+2.\sqrt{(2+\sqrt{3}).(2-\sqrt{3})}=\\\\\\=4+2.\sqrt{4-3}=4+2.\sqrt{1}=4+2.1=4+2=6$