Mathematical and Physical Journal
for High Schools
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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