Question

Me ajuda por favor

calcule as raízes

$a) \: \sqrt[4]{38416}$
$b) \: \sqrt[5]{32768}$
$c) \: \sqrt[3]{2744}$
$d) \: \sqrt[3]{21952}$




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Answer 1

Resposta:

Explicação passo a passo:

a)

$38416 =2^{4} .7^{4}$

$\sqrt[4]{38416} =\sqrt[4]{2^{4} .7^{4} } =2.7=14$

b)

$32768 = 2^{15}$

$\sqrt[5]{32768} =\sqrt[5]{2^{15} } =2^{\frac{15}{5} } =2^{3} =8$

c)

$2744 =2^{3} .7^{3}$

$\sqrt[3]{2744} =\sqrt[3]{2^{3}.7^{3} } =2.7=14$

d)

$21952 = 2^{6}.7^{3}$

$\sqrt[3]{21952} =\sqrt[3]{2^{6} .7^{3} } =2^{2}.7 =4.7=28$