Arrange in ascending order.

Arrange in ascending order.

∛2, √3, ⁶√5

Solution:

Here we can express the given expressions as:

∛2 = 2^1/3

√3 = 3^1/2

⁶√5 = 5^1/6

Let us make the roots common so,

2^1/3= 2⁽²× ^1/2 × ^1/3) = 4^1/6

3^1/2 = 3⁽³× ^1/3 × ^1/2) = 27^1/6

5^1/6 = 5^1/6

Now, let us arrange in ascending order,

4^1/6, 5^1/6, 27^1/6

So,

2^1/3, 5^1/6, 3^1/2

So,

∛2, ⁶√5, √3

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