Предмет: Алгебра, автор: dianafalaleeva

СРОЧНО ПОМОГИТЕ!!!1 ДАЮ МАКС БАЛЛ

Приложения:

xacku2020: -22

dianafalaleeva: как решил?

Ответы

Автор ответа: xacku2020

0

$\frac{1(1-\sqrt{3)} }{ (1+\sqrt{3)}*(1-\sqrt{3)} } + \frac{ \sqrt{3} -\sqrt{5} }{(\sqrt{3} +\sqrt{5} ) * (\sqrt{3} -\sqrt{5} ) } + ... + \frac{ \sqrt{2023} -\sqrt{2025} }{(\sqrt{2023} +\sqrt{2025} ) * (\sqrt{2023} -\sqrt{2025} ) } =$

$= \frac{1-\sqrt{3} }{ -2} + \frac{ \sqrt{3} -\sqrt{5} }{-2 } + ... + \frac{ \sqrt{2023} -\sqrt{2025} }{-2 } = \\=\frac{1-\sqrt{3}+ \sqrt{3} -\sqrt{5} +...+ \sqrt{2023} -\sqrt{2025} }{-2} =\frac{1-\sqrt{2025} } {-2} =\frac{1-45}{-2} =22$

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