bereisen
travel through
To travel through a country, region, or continent and visit different places in order to get to know them.
In seiner Jugend hat er viele Länder Asiens bereist.
In his youth, he traveled through many countries in Asia.

to travel through
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travel through
To travel through a country, region, or continent and visit different places in order to get to know them.
In seiner Jugend hat er viele Länder Asiens bereist.
In his youth, he traveled through many countries in Asia.

The prefix 'be-' is inseparable, which means it stays firmly attached to the verb in all sentence forms. It also makes the verb transitive: it always needs a direct object.
Er hat letztes Jahr den ganzen Balkan bereist.
He traveled through the entire Balkans last year.
The country or region that one visits always comes directly after the verb in the accusative. You do not use a preposition like 'in' or 'durch' (through).
Wir bereisen die gesamte Westküste mit dem Auto.
We are traveling along the entire West Coast by car.
The object of 'bereisen' (to travel through) is usually a larger geographical unit. Typical objects are 'ein Land' (a country), 'eine Region' (a region), 'einen Kontinent' (a continent), or 'die Welt' (the world).
Viele träumen davon, einmal die ganze Welt zu bereisen.
Many people dream of traveling the whole world one day.
to travel
'reisen' and 'bereisen' both have to do with traveling. 'reisen' is the normal, general verb: you travel to Berlin, to Spain, or by train. 'bereisen' usually needs a direct object, for example a country or a region. It means that you travel through this area and visit several places. Learners may confuse the words because both fit with vacations and exploring. The important difference is: you use 'reisen' with 'nach' or 'in' for a country, but you 'bereisen' a country or region.

Die Klasse bereist im Sommer den Norden Deutschlands und besucht mehrere Städte.
The class is traveling through northern Germany in the summer and visiting several cities.
Mein Vater reist im Herbst nach Griechenland.
My father is traveling to Greece in the fall.