Question

desarrolla la raíz de la fracción y simplificada​

Answer 1

$\sqrt{\frac{a}{b} } = \frac{\sqrt{a} }{\sqrt{b} }$

a) $\sqrt{\frac{4}{36} } = \frac{\sqrt{4} }{\sqrt{36} } = \frac{2}{6} = \frac{1}{3}$

b) $\sqrt{\frac{25}{100} } = \frac{\sqrt{25} }{\sqrt{100} } = \frac{5}{10} = \frac{1}{2}$

c)$\sqrt{\frac{9}{49} } = \frac{\sqrt{9} }{\sqrt{49} } = \frac{3}{7}$

d)$\sqrt{\frac{16}{81} } = \frac{\sqrt{16} }{\sqrt{81} } = \frac{4}{9}$

e)$\sqrt{\frac{4}{64} } = \frac{\sqrt{4} }{\sqrt{64} } = \frac{2}{8} = \frac{1}{4}$

f)$\sqrt[3]{\frac{8}{64} } =\frac{\sqrt[3]{8} }{\sqrt[3]{64} } = \frac{2}{4} = \frac{1}{2}$

g)$\sqrt[3]{\frac{27}{216} } =\frac{\sqrt[3]{27} }{\sqrt[3]{216} } = \frac{3}{6} = \frac{1}{2}$

h)$\sqrt[3]{\frac{512}{1000} } =\frac{\sqrt[3]{512} }{\sqrt[3]{1000} } = \frac{8}{10} = \frac{4}{5}$

i)$\sqrt[3]{\frac{27}{343} } =\frac{\sqrt[3]{27} }{\sqrt[3]{343} } = \frac{3}{7}$

j)$\sqrt[3]{\frac{8}{512} } =\frac{\sqrt[3]{8} }{\sqrt[3]{512} } = \frac{2}{8} = \frac{1}{4}$