Discussion

Question:

The highest number amongst $\sqrt{2}, \sqrt[3]{3},$ and $\sqrt[4]{4}$

Explanation:

Since the powers are (1/2), (1/3), (1/4), raise them to their LCM i.e. 12.
Hence, the terms become (2⁶)^1/12; (3⁴)^1/12 and (4³)^1/12 i.e. (64)^1/12; (81)^1/12 and (64)^1/12
Since 81 > 64, the largest value would be ∛3.
Hence, option (b).

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