Closest approximation

Algebra Level 2

Which of the following is the best approximation to 2 2 {\sqrt2}^{\sqrt2} ?

Note: Don't use a calculator!

1 0 0.212807 10^{0.212807} 1 0 0.428263 10^{0.428263} 1 0 0.333333 10^{0.333333} 1 0 0.712177 10^{0.712177} 1 0 0.287352 10^{0.287352} 1 0 0.292807 10^{0.292807} 1 0 1.414414 10^{1.414414}

Aryan Gupta by Aryan Gupta , 18, India

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