A) \[\sqrt[3]{5}\]
B) \[\sqrt[4]{6}\]
C) \[\sqrt[6]{12}\]
D) \[\sqrt[12]{276}\]
Correct Answer: A
Solution :
[a] \[\sqrt[3]{5}={{5}^{\frac{1}{3}\times 12}}={{5}^{4}}=625\] \[\sqrt[4]{6}={{6}^{\frac{1}{4}\times 12}}={{6}^{3}}=216\] \[\sqrt[6]{12}={{12}^{\frac{1}{6}\times 12}}={{12}^{2}}=144\] \[\sqrt[12]{276}={{276}^{\frac{1}{12}\times 12}}={{276}^{1}}=276\] So, option [a] is correct.
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