Problem: A rational number between 2\sqrt{2}2 and 3\sqrt{3}3 is:
Answer Choices:
A. 2+32\dfrac{\sqrt{2}+\sqrt{3}}{2}22+3
B. 2⋅32\dfrac{\sqrt{2} \cdot \sqrt{3}}{2}22⋅3
C. 1.51.51.5
D. 1.81.81.8
E. 1.41.41.4 Solution:
(A) and (B) are irrational. Of the remaining choices only (C) is between 2\sqrt{2}2 and 3\sqrt{3}3.