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Problem #47

Efficient calculation methods

Compiler of the Uzbek version and author of the solutions — Zuhriddin Jaloliddinov

Hard20 pointsArithmetic operations78%
Calculate in the most rational way:
(5612−4592427⋅0,15+427:203+410):(1340)\left(\frac{\sqrt{561^{2}-459^{2}}}{4\frac{2}{7}\cdot 0,15+4\frac{2}{7}:\frac{20}{3}}+4\sqrt{10}\right):\left(\frac{1}{3}\sqrt{40}\right)

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