Problem B. 4753. (December 2015)

B. 4753. Prove that \(\displaystyle \sqrt{2x \sqrt{(2x+1) \sqrt{(2x+2) \sqrt{2x+3}}}} < \frac{15x+6}{8}\) for all \(\displaystyle x>0\).

Proposed by I. Deák, Székelyudvarhely

(5 pont)

Deadline expired on January 11, 2016.

Statistics:

152 students sent a solution.
5 points:	85 students.
4 points:	44 students.
3 points:	11 students.
2 points:	8 students.
1 point:	3 students.
0 point:	1 student.

Problems in Mathematics of KöMaL, December 2015