Question

(125⅔ + 16 ½+ 343⅓)½

Answer 1

vejamos...

$( 125^{ \frac{2}{3} } + 16^{ \frac{1}{2} } + 343^{ \frac{1}{3} } )^{ \frac{1}{2} }= \\ \\ ( \sqrt[3]{125^2} + \sqrt{16} + \sqrt[3]{343} )^{ \frac{1}{2} }= \\ \\ ( \sqrt[3]{(5^3)^2} + \sqrt{2^4} + \sqrt[3]{7^3} )^{ \frac{1}{2} }= \\ \\( 5^2+2^2+7)^{ \frac{1}{2} }= \\ \\ (25+4+7)^{ \frac{1}{2} }= \\ \\ (36)^{ \frac{1}{2} }= \sqrt{36} =6$