Question

Calcule o valor das expressões:​

Answer 1

Resposta:

Explicação passo-a-passo:

a)

$(\sqrt{18}+\sqrt{98}+\sqrt{200}):(2\sqrt{2}+\sqrt{8})=(\sqrt{9.2}+\sqrt{49.2}+\sqrt{100.2}):(2\sqrt{2}+\sqrt{4.2})=(3\sqrt{2}+7\sqrt{2}+10\sqrt{2}):(2\sqrt{2}+2\sqrt{2})=(20\sqrt{2}):(4\sqrt{2})=5$

b)

$(10\sqrt{27}+10\sqrt{3}):10\sqrt{3}=(10\sqrt{9.3}+10\sqrt{3}):10\sqrt{3}=(3.10\sqrt{3}+10\sqrt{3}):10\sqrt{3}=(30\sqrt{3}+10\sqrt{3}):10\sqrt{3}=40\sqrt{3}:10\sqrt{3}=4$

c)

$(20\sqrt{50}+10\sqrt{18}):2\sqrt{2}=(20\sqrt{25.2}+10\sqrt{9.2}):2\sqrt{2}=(5.20\sqrt{2}+3.10\sqrt{2}):2\sqrt{2}=(100\sqrt{2}+30\sqrt{2}):2\sqrt{2}=130\sqrt{2}:2\sqrt{2}=65$

d)

$(2\sqrt{32}+\sqrt{128}):\sqrt{2}=(2\sqrt{16.2}+\sqrt{64.2}):\sqrt{2}=(4.2\sqrt{2}+8\sqrt{2}):\sqrt{2}=(8\sqrt{2}+8\sqrt{2}):\sqrt{2}=16\sqrt{2}:\sqrt{2}=16$