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Find the greatest among the following given numbers.
(3)1/3, (2)1/2, 1, (6)1/6
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- (2)1/2
- 1
- (6)1/6
- (3)1/3
Correct Option: D
LCM of 3, 2 and 6 = 6
Now we can write as below
∴ (3)1/3 = (32)1/6 = (9)1/6
21/2 = (23)1/6 = (8)1/6
1 = (1)1/6
(6)1/6 = (6)1/6
Clearly we can see that power 1/6 is same for all the base numbers. So the number which has greatest base with be greatest among these all number.
∴ (9)1/6 = (3)1/3 is the greatest number.
