Question

1. Simplifique os radicais.POR FAVOR PRECISO DESSAS RESPOSTAS HOJE
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Answer 1

Resposta:

Explicação passo a passo:

$a)$

$\sqrt{128a^{2}b^{3} } =$

$\sqrt{2^{7}a^{2} b^{3} } =$

$\sqrt{2^{2}.2^{2}.2^{2} .2.a^{2} .b^{2}.b } =$

$2.2.2.a.b\sqrt{2b} =$

$8ab\sqrt{2b}$

$b)$

$\sqrt[15]{3^{20} } =\sqrt[15:5]{3^{20:5} } =\sqrt[3]{3^{4} }=\sqrt[3]{3^{3} .3} =3\sqrt[3]{3}$

$c)$

$\sqrt[5]{160} =$

$\sqrt[5]{2^{5}.5 } =$

$2\sqrt[5]{5}$

$d)$

$\sqrt[4]{a^{8}b^{6} } =$

$\sqrt[4]{a^{4}.a^{4} .b^{4}.b^{2} } =$

$a.a.b\sqrt[4]{b^{2} } =$

$a^{2} b\sqrt[4]{b^{2} }=$

$a^{2} b\sqrt[4:2]{b^{2:2} }=$

$a^{2} b\sqrt{b}$

$e)$

$2\sqrt[3]{7^{3}y^{12} } =$

$2\sqrt[3]{7^{3}.(y^{4}) ^{3} } =$

$2.7.y^{4} =$

$14y^{4}$

$f)$

$\sqrt[4]{144y^{2} } =$

$\sqrt[4]{2^{4}.3^{2}.y^{2} } =$

$\sqrt[4]{2^{4}.(3y)^{2} } =$

$2\sqrt[4]{(3y)^{2} } =$

$2\sqrt[4:2]{(3y)^{2:2} } =$

$2\sqrt{3y}$

$g)$

$\sqrt[4]{162} =$

$\sqrt[4]{2.3^{4} } =$

$3\sqrt[4]{2}$

$h)$

$\sqrt[3]{10^{6} } =$

$10^{\frac{6}{3} } =$

$10^{2} =$

$100$