Question

6)Simplifique os radicais :

a) ⁴√5⁶ = b) ¹⁰√8¹² = c) ⁴√6⁸ = d) ³√5¹⁰ =

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Answer 1

Resposta:

Vamos lá!

$a)\sqrt[4]{5} ^{6} =\sqrt[4]{5^{4}. {5} ^{2}} =5\sqrt[4]{5^{2}} =5 \sqrt[]{5^{}}$

$b)\sqrt[10]{8^{12} } =\sqrt[10]{8^{10}.8^{2} }=8\sqrt[10]{8^{2} }=8\sqrt[5]{8^ }$

$c)\sqrt[4]{6^{8} } =\sqrt[4]{6^{4}.6^{4} }=6.6=36$

$d)\sqrt[3]{5^{10} } =\sqrt[3]{5^{3} .5^{3}.5^{3}.5} =5.5.5\sqrt{5} =125\sqrt{5}$

Bons estudos!!!