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