Question

please answer this question step by step​

Answer 1

$\: \: \: \sqrt{8} . \sqrt[3]{4} + \sqrt[3]{625} . \sqrt[4]{125} \\ \\ = {(8)}^{ \frac{1}{2} } . {(4)}^{ \frac{1}{3} } + {(625)}^{ \frac{1}{3} } . {(125)}^{ \frac{1}{4} } \\ \\ = {(2)}^{ \frac{3}{2} } . {(2)}^{ \frac{2}{3} } + {(5)}^{ \frac{4}{3} } . {(5)}^{ \frac{3}{4} } \\ \\ = {(2)}^{ \frac{3}{2} + \frac{2}{3} } \: \: \: \: \: + {(5)}^{ \frac{4}{3} + \frac{3}{4} } \\ \\ = {(2)}^{ \frac{13}{6} } \: \: \: + {(5)}^{ \frac{25}{12} }$