Practice mode Surds and Indices

Which is the greatest among ³√5, ⁴√7, √2 and ⁶√12?

Correct answer D. ³√5

Explanation

Raise each to the 12th power (LCM of 3, 4, 2, 6): 5⁴ = 625, 7³ = 343, 2⁶ = 64 and 12² = 144. The largest is 625, so ³√5 is the greatest.

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