An algebra problem by Dipa Parameswara
Algebra
Level
5
Let \(x,y,z\) be all real numbers such that \(x+y+z=2\).
What is the minimum value of \( n = \sqrt{x^{2}+7}+\sqrt{y^{2}+11}+\sqrt{z^{2}+13} \)?
Give your answer to 3 decimal places.
by
Dipa Parameswara