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求下列各式的值:
参考答案:∵\(\sqrt[{3}] {\left ( {-6} \right )^{3}}=-6,\sqrt[{4}] {\left ( {\sqrt {5}-4} \right )^{4}}=\left | {\sqrt {5}-4} \right |=4-\sqrt {5},\sqrt[{3}] {\left ( {\sqrt {5}-4} \right )^{3}}=\sqrt {5}-4\) ,
∴原式\(-6+4-\sqrt {5}+\sqrt {5}-4=6\) .