Question

Given natural numbers m, n such that `m/n <= sqrt 23`, prove that `m/n+3/{mn} <= sqrt 23`

Difficulty level (1 very easy - 10 very hard): 6

Number Theory -> Modular Arithmetic / Remainder Arithmetic Algebra -> Inequalities Proof and Example -> Proof by Contradiction Algebra -> Algebraic Techniques -> Roots / Radicals

Sources:

Mink Exercises and Additional Competition Materials, 2018-2019, Exercise 3 Question 4

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