A) \[\sqrt{2}\]
B) \[\sqrt[3]{3}\]
C) \[\sqrt[6]{6}\]
D) \[\sqrt[12]{12}\]
Correct Answer: B
Solution :
\[\sqrt{2,}\] \[\sqrt[3]{3},\] \[\sqrt[6]{6}\] and \[\sqrt[12]{12}\] LCM of 2, 3, 6 and \[\sqrt[12]{12}\] Hence, given numbers can be changed as follows \[\sqrt[12]{{{2}^{6}}},\] \[\sqrt[12]{{{3}^{4}}},\] \[\sqrt[12]{{{6}^{2}}}\] and \[\sqrt[12]{12}\] \[\sqrt[12]{64},\] \[\sqrt[12]{81},\] \[\sqrt[12]{36}\] and \[\sqrt[12]{12}\] Hence, \[\sqrt[3]{3}\] is the largest number.
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