A) \[6\sqrt[3]{2}\]
B) \[6\sqrt[4]{2}\]
C) \[6\sqrt[5]{2}\]
D) \[16\sqrt[4]{2}\]
Correct Answer: D
Solution :
(d): \[7\times \sqrt[4]{81\times 2}-5\times \sqrt[4]{16\times 2}+\sqrt[4]{625\times 2}\] \[=7\times 3\times {{2}^{\frac{1}{4}}}-5\times 2\times {{2}^{\frac{1}{4}}}+5\times {{2}^{\frac{1}{4}}}\] \[={{2}^{\frac{1}{4}}}\left[ 21-10+5 \right]\] \[=16\times \sqrt[4]{2}.\]
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