Question

determine o valor de:
$\sqrt{1,69}$
$^3 \sqrt{-2,197} [tex] ^3\sqrt{-1,728}$
[/tex]
$^4 \sqrt{0,1296}$

Answer 1

Bom dia 

Fatore os números 

$a) \sqrt{1,69} = \sqrt{ \frac{169}{100} }= \sqrt{ \frac{ 13^{2} }{ 10^{2} } } = \frac{13}{10} =\boxed{1,3} \\ \\ b) \sqrt[3]{-2,197}=- \sqrt[3]{2,197} =- \sqrt[3]{ \frac{2197}{1000} }=- \sqrt[3]{ \frac{ 13^{3} }{ 10^{3} } } = \frac{13}{10} =\boxed{1,3}$

$c) \sqrt[3]{-1, 728}=- \sqrt[3]{1,728}=- \sqrt[3]{ \frac{1728}{1000} } =- \sqrt[3]{ \frac{ 2^{6}* 3^{3} }{ 10^{3} } }=- \frac{ 2^{2}*3 }{10} \\ \\ - \frac{12}{10}=\boxed{-1,2}$

$d) \sqrt[4]{0,1296}= \sqrt[4]{ \frac{1296}{10000} }= \sqrt[4]{ \frac{1296}{10000} } = \frac{6}{10} = \frac{3}{5}$