Question

Can u give me the steps to solve this prob..

Answer 1

$\sqrt[3]{ \frac{27648}{3456} } \times \sqrt[3]{ \frac{24000}{10125} } \\ \\ \sqrt[3]{ \frac{27648}{3456} \times \frac{24000}{10125} } \\ \\ reduce \: the \: fraction \: \frac{27648}{3456} \: with \: 3456 \\ \\ we \: get \\ \\ \sqrt[3]{8 \times \frac{24000}{10125} } \\ \\ now \: reduce \: the \: fraction \: \frac{24000}{10125} \: with \: 375 \\ \\ we \: get \\ \\ \sqrt[3]{8 \times \frac{64}{27} }$

$now \: solve \: the \: cube \: root \: \\ \\ \sqrt[3]{8} \times \sqrt[3]{ \frac{64}{27} } \\ \\ \sqrt[3]{ {2}^{3} } \times \frac{ \sqrt[3]{64} }{ \sqrt[3]{27} } \\ \\ 2 \times \frac{ \sqrt[3]{ {4}^{3} } }{ \sqrt[3]{ {3}^{3} } } \\ \\ 2 \times \frac{4}{3} \\ \\ \frac{8}{3} = 2.6$


HOPE IT WOULD HELP YOU