вычислите 2/ 5+2√ 6 - 2/ 2√ 5-5. Created by stadnic. algebra-ru

2√ 5-5...

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вычислите 2/ 5+2√ 6 - 2/ 2√ 5-5

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Yena $\frac{2}{5+2\sqrt5}-\frac{2}{2\sqrt5-5}=\frac{2(2\sqrt5-5)-2(5+2\sqrt5)}{(5+2\sqrt5)(2\sqrt5-5)}=$
$=\frac{4\sqrt{5}-10-10-4\sqrt{5}}{(2\sqrt5)^2-5^2}=\frac{-20}{20-25}=\frac{-20}{-5}=4$

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