Explicación paso a paso:
[tex]a. \: \sqrt{ \frac{36}{49} } = \sqrt{ \frac{ {6}^{2} }{ {7}^{2} } } = \sqrt{( { \frac{6}{7} })^{2} } = \frac{6}{7} [/tex]
[tex]b. \: \sqrt[3]{ \frac{8}{125} } = \sqrt[3]{ \frac{ {2}^{3} }{ {5}^{3} } } = \sqrt[3]{( { \frac{2}{5} })^{3} } = \frac{2}{5} [/tex]
[tex]c. \: \sqrt[4]{ \frac{1296}{16} } = \sqrt[4]{ \frac{ {6}^{4} }{ {2}^{4} } } = \sqrt[4]{ ({ \frac{6}{2} })^{4} } = \frac{6}{2} = 3[/tex]
Respuesta:
a. 6/7
b. 2/5
c. 3
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Explicación paso a paso:
[tex]a. \: \sqrt{ \frac{36}{49} } = \sqrt{ \frac{ {6}^{2} }{ {7}^{2} } } = \sqrt{( { \frac{6}{7} })^{2} } = \frac{6}{7} [/tex]
[tex]b. \: \sqrt[3]{ \frac{8}{125} } = \sqrt[3]{ \frac{ {2}^{3} }{ {5}^{3} } } = \sqrt[3]{( { \frac{2}{5} })^{3} } = \frac{2}{5} [/tex]
[tex]c. \: \sqrt[4]{ \frac{1296}{16} } = \sqrt[4]{ \frac{ {6}^{4} }{ {2}^{4} } } = \sqrt[4]{ ({ \frac{6}{2} })^{4} } = \frac{6}{2} = 3[/tex]
Respuesta:
a. 6/7
b. 2/5
c. 3
Explicación paso a paso: