January 2019 2 42 Report
Udowodnij, że  \sqrt{4^{100} -1 } + \sqrt{4^{100} +1 } \ \textless \ 2^{100} + 2^{100}

co zrobiłam źle?

 \sqrt{ (2^{100})^2 -1} + \sqrt{ (2^{100})^2 +1} \ \textless \ 2* 2^{100} / ^{2}
[(2^{100})^2 -1] + [(2^{100})^2 +1] < 2* 2^{100}
2* 2^{100} < 2* 2^{100}

więc prawa i lewa strona są równe :(

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