Question

Calcula
$s = \sqrt[3]{37 \times 0,081081... + 5}$
aiudaa q.q ;v​

Answer 1

Respuesta:

               $2$

Explicación paso a paso:

$S = \sqrt[3]{37*0.081081...+5}$

Expresamos el peridico en fracción :  0.081081...

$\frac{x}{y} =0.081081081...$

$1000(\frac{x}{y} = 0.081081081...)$

Restamos:

$1000(\frac{x}{y} ) =081.081081081...$

$-\frac{x}{y} =- 0.081081081...$

_________________________

$999(\frac{x}{y} ) = 81$

$\frac{x}{y} = \frac{81}{999} = \frac{3}{37}$

$Luego: 0.081081... = \frac{3}{37}$

$S = \sqrt[3]{37*\frac{3}{37} +5} =\sqrt[3]{\frac{37*3}{37} +5} =\sqrt[3]{3+5}$

$S = \sqrt[3]{8} = \sqrt[3]{2^{3} } = 2^{\frac{3}{3} } = 2^{1}$

$Luego: S = 2$