Question

Arrange in ascending order ⁴√3,√2,³√4

Answer 1

Answer:

Here we can express the given expressions as:

3

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,

3

2

<

6

5

<

3