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  1. \(\sqrt[3]{5}\)
  2. \(\sqrt[4]{6}\)
  3. \(\sqrt[6]{{18}}\)
  4. \(\sqrt[6]{{12}}\)
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1 Answers

Option 1 : \(\sqrt[3]{5}\)

Firstly, we have to find the L.C.M. of all the powers so that we can equate the bases.

L.C.M. of 3, 4, 6, 12 = 12

⇒ (5)1/3 = (54)1/12 = (625)1/12

⇒ (6)1/4 = (63)1/12 = (216)1/12

⇒ (12)1/6 = (122)1/12 = (144)1/12

⇒ (276)1/12

Since, the powers are equal, we can equate the bases

Hence, (5)1/3 is the largest

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