Ejercicio 213 – Solucionario Baldor

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DESCARGA

CAPITULO XXIX

Radicación
Raíz de un monomio

Ejercicio 213

Hallar las siguientes raíces:

$\sqrt{4 a^{2} b^{4}} = \pm 2 a b^{2}$
$\sqrt{25 x^{6} y^{8}} = \pm 5 x^{3} y^{4}$
$\sqrt[3]{27 a^{3} b^{9}} = 3 a b^{3}$
$\sqrt[3]{- 8 a^{3} b^{6} x^{12}} = - 2 a b^{2} x^{4}$
$\sqrt{64 x^{8} y^{10}} = \pm 8 x^{4} y^{5}$
$\sqrt[4]{16 a^{8} b^{16}} = \pm 2 a^{2} b^{4}$
$\sqrt[5]{x^{15} y^{20} z^{25}} = x^{3} y^{4} z^{5}$
$\sqrt[3]{- 64 a^{3} x^{6} y^{18}} = - 4 a x^{2} y^{6}$
$\sqrt[5]{- 243 m^{5} n^{15}} = - 3 m n^{3}$
$\sqrt{81 x^{6} y^{8} z^{20}} = \pm 9 x^{3} y^{4} z^{10}$
$\sqrt[3]{1000 x^{9} y^{18}} = 10 x^{3} y^{6}$
$\sqrt[4]{81 a^{12} b^{24}} = \pm 3 a^{3} b^{6}$
$\sqrt[6]{64 a^{12} b^{18} c^{30}} = \pm 2 a^{2} b^{3} c^{5}$
$\sqrt{49 a^{2 n} b^{4 n}} = \pm 7 a^{n} b^{2 n}$
$\sqrt[5]{- x^{5 n} y^{10 x}} = - x^{n} y^{2 x}$
$\sqrt{\frac{9 a^{2}}{25 x^{4}}} = \frac{\sqrt{9 a^{2}}}{\sqrt{25 x^{4}}} = \pm \frac{3 a}{5 x^{2}}$
$\sqrt[3]{- \frac{27 a^{3}}{64 x^{9}}} = - \frac{\sqrt[3]{27 a^{3}}}{\sqrt[3]{64 x^{9}}} = - \frac{3 a}{4 x^{3}}$
$\sqrt[5]{- \frac{a^{5} b^{10}}{32 x^{15}}} = - \frac{\sqrt[5]{a^{5} b^{10}}}{\sqrt[5]{32 x^{15}}} = - \frac{a b^{2}}{2 x^{3}}$
$\sqrt[4]{\frac{a^{8}}{81 b^{4} c^{12}}} = \frac{\sqrt[4]{a^{8}}}{\sqrt[4]{81 b^{4} c^{12}}} = \pm \frac{a^{2}}{3 b c^{3}}$
$\sqrt[7]{\frac{128}{x^{14}}} = \frac{2}{x^{2}}$
$\sqrt{\frac{x^{2 m}}{121 y^{4 n}}} = \frac{\sqrt{x^{2 m}}}{\sqrt{121 y^{4 n}}} = \pm \frac{x^{m}}{11 y^{2 n}}$
$\sqrt[3]{- \frac{125 x^{9}}{216 m^{12}}} = - \frac{5 x^{3}}{6 m^{4}}$
$\sqrt[9]{\frac{a^{18}}{b^{9} c^{27}}} = \frac{\sqrt[9]{a^{18}}}{\sqrt[9]{b^{9} c^{27}}} = \frac{a^{2}}{b c^{3}}$
$\sqrt[10]{\frac{x^{20}}{1024 y^{30}}} = \frac{\sqrt[10]{x^{20}}}{\sqrt[10]{1024 y^{30}}} = \pm \frac{x^{2}}{2 y^{3}}$