Problem: 164\sqrt{164}164​ is
Answer Choices:
A. 424242 B. less than 101010 C. between 101010 and 111111 D. between 111111 and 121212 E. between 121212 and 131313
Solution:
102=100,112=121,122=144,132=16910^{2}=100,11^{2}=121,12^{2}=144,13^{2}=169102=100,112=121,122=144,132=169 so (E)(E)(E) is correct.
Answer: E\boxed{E}E​.
The problems on this page are the property of the MAA's American Mathematics Competitions