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Among √3, ∛5 which one is the greatest?

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Among √3, ∛5 which one is the greatest?
1. √3
2. √5
3. √2
4. 1
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Correct Answer - Option 1 : √3

Given:

√3, ∛5

Calculation:

(3)1/2, (5)1/3

The LCM of 2 and 3 is 6

Calculating their 6th power

⇒ (3)(1/2) × 6, (5)(1/3) × 6

⇒ (3)3, (5)2

⇒ 27, 25

√3 > ∛5

∴ √3 is greatest than ∛5

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