Pergunta
=
b)
sqrt [3](64)=underline ( )
e) sqrt [15](x^5)=underline ( )
f)
sqrt (18)=underline ( )
i) sqrt [3](81)=underline ( )
j)
sqrt [4]((16y^4)/(81))=](https://static.questionai.br.com/resource%2Fqaiseoimg%2F202503%2F1-simplifique-os-radicaisa-sqrt-836bsqrt-364underline-e-tYaXoMkRZe0Z.jpg?x-oss-process=image/resize,w_558,h_500/quality,q_35/format,webp)
1- Simplifique os radicais: a) sqrt [8](3^6)= b) sqrt [3](64)=underline ( ) e) sqrt [15](x^5)=underline ( ) f) sqrt (18)=underline ( ) i) sqrt [3](81)=underline ( ) j) sqrt [4]((16y^4)/(81))=
Solução

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EstherMestre · Tutor por 5 anos
Responder
a) \sqrt [8]{3^{6}} = \sqrt [8]{729} = 3
b) \sqrt [3]{64} = 4
e) \sqrt [15]{x^{5}} = x^{5/15} = x^{1/3}
f) \sqrt {18} = \sqrt {9 \cdot 2} = 3\sqrt {2}
i) \sqrt [3]{81} = \sqrt [3]{3^4} = 3\sqrt [3]{3}
j) \sqrt [4]{\frac {16y^{4}}{81}} = \frac {2y}{3}
b) \sqrt [3]{64} = 4
e) \sqrt [15]{x^{5}} = x^{5/15} = x^{1/3}
f) \sqrt {18} = \sqrt {9 \cdot 2} = 3\sqrt {2}
i) \sqrt [3]{81} = \sqrt [3]{3^4} = 3\sqrt [3]{3}
j) \sqrt [4]{\frac {16y^{4}}{81}} = \frac {2y}{3}
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