(125⅔ + 16 ½+ 343⅓)½
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![( 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](https://tex.z-dn.net/?f=%28+125%5E%7B+%5Cfrac%7B2%7D%7B3%7D+%7D+%2B+16%5E%7B+%5Cfrac%7B1%7D%7B2%7D+%7D+%2B+343%5E%7B+%5Cfrac%7B1%7D%7B3%7D+%7D+%29%5E%7B+%5Cfrac%7B1%7D%7B2%7D+%7D%3D+%5C%5C++%5C%5C+%28+%5Csqrt%5B3%5D%7B125%5E2%7D+%2B+%5Csqrt%7B16%7D+%2B+%5Csqrt%5B3%5D%7B343%7D+%29%5E%7B+%5Cfrac%7B1%7D%7B2%7D+%7D%3D+%5C%5C++%5C%5C+%28+%5Csqrt%5B3%5D%7B%285%5E3%29%5E2%7D+%2B+%5Csqrt%7B2%5E4%7D+%2B+%5Csqrt%5B3%5D%7B7%5E3%7D+%29%5E%7B+%5Cfrac%7B1%7D%7B2%7D+%7D%3D+%5C%5C++%5C%5C%28+5%5E2%2B2%5E2%2B7%29%5E%7B+%5Cfrac%7B1%7D%7B2%7D+%7D%3D+%5C%5C++%5C%5C+%2825%2B4%2B7%29%5E%7B+%5Cfrac%7B1%7D%7B2%7D+%7D%3D+%5C%5C++%5C%5C+%2836%29%5E%7B+%5Cfrac%7B1%7D%7B2%7D+%7D%3D+%5Csqrt%7B36%7D+%3D6 "( 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")
kjmaneiro:
OKKK!!!!
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