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[tex]\large\boxed{\begin{array}{l}\sf\sqrt[\sf3]{\sf8}+\sqrt{49}\\\begin{array}{c|l}\sf8&\sf2\\\sf4&\sf2\\\sf2&\sf2\\\sf1\end{array}\\\begin{array}{c|l}\sf49&\sf7\\\sf7&\sf7\\\sf1\end{array}\\\sf 8=2^3~~49=7^2\\\sf\sqrt[\sf3]{\sf8}=\sqrt[\sf\diagdown\!\!\!\!3]{\sf2^{\diagdown\!\!\!\!3}}=2\\\sf \sqrt{49}=\sqrt{7^{\diagdown\!\!\!\!2}}=7\\\sf\sqrt[\sf3]{\sf8}+\sqrt{49}=2+7=9\end{array}}[/tex]
