Question

Reduza os termos semelhantes :

a) 2√7+8√7

b) 10√5-7√5

c) √3.√2

d) √2.√3.√5

e) 6³√10 ÷ 3 ³√5

f) ³√12 ÷ ³√4

g) (√2¬)³ (a raiz de 2 é elevado a 6 potencia)

h) ³√√2

Answer 1

Explicação passo-a-passo:

a) $2\sqrt{7}+8\sqrt{7}=(2+8)\sqrt{7}=10\sqrt{7}$

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b) $10\sqrt{5}-7\sqrt{5}=(10-7)\sqrt{5}=3\sqrt{5}$

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c) $\sqrt{3}.\sqrt{2}=\sqrt{3.2}=\sqrt{6}$

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d) $\sqrt{2}.\sqrt{3}.\sqrt{5}=\sqrt{2.3.5}=\sqrt{30}$

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e) $6\sqrt[3]{10}:3\sqrt[3]{5}=\frac{6\sqrt[3]{10}}{3\sqrt[3]{5}}=2\sqrt[3]{\frac{10}{5}}=2\sqrt[3]{2}$

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f) $\sqrt[3]{12}:\sqrt[3]{4}=\frac{\sqrt[3]{12}}{\sqrt[3]{4}}=\sqrt[3]{\frac{12}{4}}=\sqrt[3]{3}$

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g) $(\sqrt{2}^{2})^{3}=\sqrt{2}^{18}=((\sqrt{2})^{2})^{9}=2^{9}$  $ou$  $512$

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h) $\sqrt[3]{\sqrt{2}}=\sqrt[6]{2}$