Предмет: Алгебра, автор: UNGLY

Доказать что число а иррациональное. а=√11-√3

Ответы

Автор ответа: kir3740

0

Посмотрим на a² = 14-2√33

Вне всякого сомнения a - иррациональное число (разность рационального и иррационального). Поэтому a - тоже иррациональное число.

Иначе и быть не может --- будь a рациональным, его квадрат тоже был бы рациональным

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