Three Huge Numbers, Ordered

★ 7/10algebraEstimationAM-GMinequality

Problem

Order from smallest to largest:

a=20202020,b=20192021⋅20212019,c=12(20192021+20212019).a = 2020^{2020}, \qquad b = \sqrt{2019^{2021} \cdot 2021^{2019}}, \qquad c = \frac12\left(2019^{2021} + 2021^{2019}\right).

Answer

Solution

Difficulty7/10
Topicsalgebra, Estimation, AM-GM, inequality

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