Mathematical and Physical Journal
for High Schools
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Problem B. 4731. (September 2015)

B. 4731. Let \(\displaystyle 0\le a,b,c \le 2\), and \(\displaystyle a+b+c=3\). Determine the largest and smallest values of

\(\displaystyle \sqrt{a(b+1)} + \sqrt{b(c+1)} + \sqrt{c(a+1)}. \)

Proposed by K. Williams, Szeged

(6 pont)

Deadline expired on October 12, 2015.


Statistics:

57 students sent a solution.
6 points:Borbényi Márton, Bukva Balázs, Gáspár Attila, Simon Dániel Gábor, Tóth Viktor, Váli Benedek.
5 points:Andó Angelika, Baglyas Márton, Baran Zsuzsanna, Nagy Dávid Paszkál, Páli Petra, Polgár Márton.
4 points:11 students.
3 points:17 students.
2 points:4 students.
1 point:9 students.
0 point:4 students.

Problems in Mathematics of KöMaL, September 2015