Pergunta

c) sqrt [3]((729)/(64))
e) sqrt [4]((625)/(256))
b) sqrt [3](343)
d) sqrt (121)
f) sqrt [5]((1)/(1024))](https://static.questionai.br.com/resource%2Fqaiseoimg%2F202503%2F1-decomponha-o-radicando-em-fatores-primoscalcule-o-tqa0yKtkZB0k.jpg?x-oss-process=image/resize,w_558,h_500/quality,q_35/format,webp)
1. Decomponha o radicando em fatores primos calcule o valor de cada radical. a) sqrt [5](32) c) sqrt [3]((729)/(64)) e) sqrt [4]((625)/(256)) b) sqrt [3](343) d) sqrt (121) f) sqrt [5]((1)/(1024))
Solução

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NúbiaProfissional · Tutor por 6 anos
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a) \sqrt [5]{32} = \sqrt [5]{2^5} = 2
b) \sqrt [3]{343} = \sqrt [3]{7^3} = 7
c) \sqrt [3]{\frac {729}{64}} = \sqrt [3]{\frac {9^3}{4^3}} = \frac {9}{4}
d) \sqrt {121} = \sqrt {11^2} = 11
e) \sqrt [4]{\frac {625}{256}} = \sqrt [4]{\frac {5^4}{4^4}} = \frac {5}{4}
f) \sqrt [5]{\frac {1}{1024}} = \sqrt [5]{\frac {1}{2^{10}}} = \frac {1}{2^2} = \frac {1}{4}
b) \sqrt [3]{343} = \sqrt [3]{7^3} = 7
c) \sqrt [3]{\frac {729}{64}} = \sqrt [3]{\frac {9^3}{4^3}} = \frac {9}{4}
d) \sqrt {121} = \sqrt {11^2} = 11
e) \sqrt [4]{\frac {625}{256}} = \sqrt [4]{\frac {5^4}{4^4}} = \frac {5}{4}
f) \sqrt [5]{\frac {1}{1024}} = \sqrt [5]{\frac {1}{2^{10}}} = \frac {1}{2^2} = \frac {1}{4}
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