He put his hand into his pocket and took 【out】 a small wallet .
=He put his hand into his pocket and took a small wallet【out of】it .
take sth out：动词短语,【拿/取出】，out是副词，该短语后面不接宾语，宾语已经在两个词之间。
take sth out of sth：从......里面取出......。of介词，后面需要接宾语，强调事物原来存放的地方。例如：
He took a book out.
He took a book out of his drawer.
祝你开心如意！
take out是拿出的意思。take out of是除去；要赔偿；报仇的意思。但我查了其实两个都行
take out 后面直接跟宾语，不需要加介词 of 意思为拿出、取出
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