Evaluate
27\sqrt[4]{3}+\sqrt[4]{6}-4\sqrt{6}\approx 27.301123959
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-4\sqrt{6}+\sqrt[4]{486}-2\sqrt[4]{6}+9\sqrt[4]{243}
Factor 96=4^{2}\times 6. Rewrite the square root of the product \sqrt{4^{2}\times 6} as the product of square roots \sqrt{4^{2}}\sqrt{6}. Take the square root of 4^{2}.
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