Which irrational number is between 14√ and 18√ ?

A: 2√/4
B: 0.23242526...
C: 0.98989898...
D: 15√

1 answer

To determine which irrational number is between 14√ and 18√, we need to find their approximate values.

14√ ≈ 3.74
18√ ≈ 4.24

From the given options:
A: 2√/4 ≈ 0.354
B: 0.23242526... does not fall between 3.74 and 4.24
C: 0.98989898... does not fall between 3.74 and 4.24
D: 15√ ≈ 3.87

Therefore, the irrational number between 14√ and 18√ is 15√. The answer is D.