Arrange in decreasing order: 31/2, 41/5, 51/4
Explanation:
Given, 31/2, 41/5, 51/4
LCM (2, 5, 4) = 20
Raising all the numbers to power 20, we get:
⇒ 31220, 41520, 51420
⇒ 310, 44, 55
⇒ 95, 256, 3125
⇒ 81 × 729, 256, 3125
Since, 81 × 729 > 3125 > 256
⇒ 31/2 > 51/4 > 41/5
Hence, option (d).
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