Question

aplicando las propiedades corespondiete hallar es para una prueba​

Answer 1

Respuesta:

A)

$\sqrt[3]{ \sqrt{64} } = \sqrt[3]{8} = 2$

B)

$\frac{ \sqrt{125} }{ \sqrt{5} } = \sqrt{ \frac{125}{5} } = \sqrt{25} = 5$

C)

$\sqrt{2} \times \sqrt{10} \times \sqrt{5} = \sqrt{2 \times 10 \times 5} = \sqrt{100 } = 10$

D)

$\sqrt{ {2}^{6} } = \sqrt{64} = 8$

E)

$\frac{ \sqrt{90} }{( \sqrt{5} \times \sqrt{2}) } = \frac{ \sqrt{90} }{ \sqrt{5 \times 2} } = \frac{ \sqrt{90} }{ \sqrt{10} } = \sqrt{ \frac{90}{10} } = \sqrt{9} = 3$

F)

$\frac{ \sqrt[3]{27} }{ {3}^{3} } = \frac{3}{ {3}^{3} } = \frac{1}{ {3}^{2} } = \frac{1}{9}$

G)

$\sqrt{81 \times {3}^{2} } = \sqrt{81 \times 9} = \sqrt{729} = 27$

H)

$\frac{ \sqrt[3]{100000} }{ - 32} = \frac{ \sqrt[3]{ {10}^{3} \times 100} }{ - 32} = \frac{ \sqrt[3]{ {10}^{3} } \sqrt[3]{100} }{ - 32} = \frac{10 \sqrt[3]{100} }{ - 32} = \frac{5 \sqrt[3]{100} }{ - 16} = - \frac{5 \sqrt[3]{100} }{16}$