Question

calcule o resultado das adições algébricas a seguir:

a)
$\sqrt[3]{18 + 5 \sqrt[3]{18 } } - 13 \sqrt[3]{18}$

b)
$\sqrt{18} - \sqrt{50} + \sqrt{32}$

c)
$\sqrt[2]{54} + \sqrt[2]{24} - \sqrt[2]{96}$
d)
$\sqrt{20} + \sqrt{45} - \sqrt{180}$
e)
$\sqrt{300} - \sqrt[2]{27} - \sqrt{45}$
​

Answer 1

Resposta:

A) $10\sqrt[9]{18}$

B) $2\sqrt{2}$

C) $2\sqrt{6}$

D) $-1 \sqrt{5}$

E) $7\sqrt{3} -3\sqrt{5}$

Explicação passo a passo:

A) $\sqrt[3]{18 -8\sqrt[3]{18}}\\ \ \sqrt[3]{10 \sqrt[3]{18}} \\10\sqrt[9]18}$se não for raiz dentro de raiz fica assim...$\sqrt[3]{18} + 5\sqrt[3]{18} - 13\sqrt[3]{18}\\ 6\sqrt[3]{18} - 13\sqrt[3]{18} \\-7\sqrt[3]{18}$

B)

$\sqrt{18} - \sqrt{50} - \sqrt{32} \\\sqrt{2.3^{2} } - \sqrt{2.5^{2} } - \sqrt{2^{5} } \\3\sqrt{2} - 5\sqrt{2} + \sqrt{2^{2} .2^{2} .2} \\-2\sqrt{2} + 2.2\sqrt{2} \\-2\sqrt{2} +4\sqrt{2} \\2\sqrt{2}$

C)

$\sqrt{2.3.3^{2} } + \sqrt{2^{2}.2.3 } - \sqrt{2^{2}. 2^{2}.2.3 } \\3\sqrt{6} +2\sqrt{6} - 4\sqrt{6} \\6\sqrt{6} -4\sqrt{6}\\2\sqrt{6}$

D)

$\sqrt{2^{2} .5} +\sqrt{3^{2} .5} - \sqrt{2^{2} .3^{2} .5} \\2\sqrt{5} + 3\sqrt{5}- 2.3\sqrt{5}\\5\sqrt{5}-6\sqrt{5}\\-1\sqrt{5}$

E)

$\sqrt{2^{2} .5^{2} .3} -\sqrt{3^{2}.3 } -\sqrt{3^{2} .5} \\10\sqrt{3} - 3\sqrt{3} - 3 \sqrt{5}\\7\sqrt{3} - 3\sqrt{5}$