Предмет: Алгебра, автор: TloBeJluTeJlbx

Сравните числа, срочно. Тупые комменты прошу не оставлять, это приведет к разберательству вас и модеров сайта.

Приложения:

MerlinMath: Это корень 6 или 5 степени?
TloBeJluTeJlbx: у первого 3, у второго 5

Ответы

Автор ответа: MerlinMath
1

Ответ:

Первый больше второго

Объяснение:

Запишем степени в виде дробей

3^(1/3)  2^(1/5)

Приведем дроби к общему знаменателю 15

3^(5/15)  2^(3/15)

Так как у первого больше степень, и основание степени тоже больше, то первое число больше

Автор ответа: NNNLLL54
0

Ответ:

\sqrt[3]{3}=\sqrt[15]{3^5}=\sqrt[15]{243}\ \ \ ,\ \ \ \ \sqrt[5]{2}=\sqrt[15]{2^3}=\sqrt[15]{8} \\\\\\243>8\ \ \ \to \ \ \ \ \sqrt[15]{243} >\sqrt[15]{8}\ \ \ \ \to \ \ \ \ \boxed{\ \sqrt[3]{3}>\sqrt[5]{2}\ }

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