Question

extraer la las raíces
A) 3√-8/27

B) √169/25

C) 4√16/625

RESPONDER PASO A PASO

$ojo \: reporto \:$
​

Answer 1

Respuesta:

Explicación paso a paso:

a)  8 = 2*2*2

27=3*3*3

$3\sqrt(\frac{-8}{27}) =3 \sqrt(\frac{-2^{3}}{3^{3}})=3\sqrt(\frac{-2^{2}2}{3^{2}3})=3\frac{2}{3}\sqrt(\frac{-2}{3})=2\sqrt(\frac{-2}{3})$

b) $169 = 13 * 13 = 13^{2}$

$25 =5^{2}$

$\sqrt(\frac{169}{25})=\sqrt(\frac{13^{2} }{5^{2} })=\frac{13}{5}$

c)$16=4^{2}$

$625=5^{4}$

$4\sqrt(\frac{16}{625})=4\sqrt(\frac{4^{2} }{5^{4} })=4}\sqrt(\frac{4^{2} }{(5^{2} )^{2} })=4\frac{4}{5^{2} }=4\frac{4}{25}=\frac{16}{25}$