Met één sterk argument kun je zelfs een andere klasgenoot overtuigen.

Met means with. The phrase Met één sterk argument means with one strong argument and tells you the means or tool by which something is done.

Dutch often puts this kind of phrase at the beginning of the sentence for emphasis. In more neutral order, you could also say:

Je kunt zelfs een andere klasgenoot overtuigen met één sterk argument.

Both are correct, but starting with Met één sterk argument highlights the idea of the argument first.

This is a very common question.

• een = a / an
• één = one with emphasis

In this sentence, één is written with accents because it means one specifically, not just a. So één sterk argument suggests one single strong argument.

Compare:

• met een sterk argument = with a strong argument
• met één sterk argument = with one strong argument

The accents help show that the number is important.

This happens because Dutch main clauses usually follow the verb-second rule.

The sentence begins with Met één sterk argument, which takes the first position. Because of that, the finite verb must come next:

• Met één sterk argument kun je ...

If the sentence started with the subject, you would normally get:

• Je kunt zelfs een andere klasgenoot overtuigen.

So:

• Je kunt ... = normal subject-first order
• Met één sterk argument kun je ... = inversion after another element comes first

Yes. In this sentence, they mean the same thing: you can.

The difference is word order, not meaning.

• Je kunt ... = subject first
• Kun je ... = verb before subject because something else came first, or because it is a question

Examples:

• Je kunt hem helpen. = You can help him.
• Morgen kun je hem helpen. = Tomorrow you can help him.

So in your sentence, kun je is just the normal result of Dutch word order after an opening phrase.

Zelfs means even.

In this sentence, it adds the idea that something is surprising or more impressive than expected:

kun je zelfs een andere klasgenoot overtuigen
= you can even convince another classmate

Its position shows what it most naturally emphasizes. Here it emphasizes the object phrase that follows: een andere klasgenoot.

Dutch adverbs like zelfs can move around a bit, but the meaning or emphasis may shift slightly.

Because klasgenoot is a de-word:

• de klasgenoot

When an adjective comes before a singular de-word with een, it usually gets -e:

• een sterke klasgenoot
• een andere klasgenoot

So andere is the correct inflected form here.

This is one of the standard adjective ending patterns in Dutch.

Because argument is a singular het-word:

• het argument

With an indefinite article (een) before a singular het-word, the adjective usually has no -e ending:

• een sterk argument
• een groot huis
• een mooi boek

So:

• één sterk argument is correct
• not één sterke argument

Compare with a de-word:

• een sterke reden
• een mooie tafel

Overtuigen is the infinitive verb meaning to convince.

In Dutch, when you use a modal verb like kunnen (can), the main verb usually goes to the end of the clause in the infinitive:

• Je kunt hem overtuigen.
• Kun je hem overtuigen?
• Met één sterk argument kun je hem overtuigen.

So in your sentence:

• kun = finite/modal verb
• overtuigen = main infinitive at the end

This is very typical Dutch structure.

It can mean both, depending on context.

In many cases, een andere klasgenoot can be translated as:

• another classmate
• a different classmate

Dutch ander/andere often covers both ideas.

If the context is about convincing one person instead of someone else, a different classmate may feel more natural in English. If the point is simply one more classmate, another classmate works well.

Yes. Klasgenoot is a common gender-neutral word for classmate.

If needed, context will show who is meant. Dutch often uses nouns like this without marking gender.

Often yes, but there are some differences in usage depending on the structure.

In this sentence, iemand overtuigen means to convince someone:

• Ik overtuig mijn vriend. = I convince my friend.

You can also specify what you convince someone of, for example with van:

• Ik overtuig hem van mijn idee. = I convince him of my idea.

So in your sentence, the object is simply the person being convinced: een andere klasgenoot.

Yes, but that version adds an extra idea: of it / of that.

• iemand overtuigen = convince someone
• iemand ergens van overtuigen = convince someone of something

So:

• Met één sterk argument kun je zelfs een andere klasgenoot overtuigen.
  = With one strong argument, you can even convince another classmate.

• Met één sterk argument kun je zelfs een andere klasgenoot ervan overtuigen.
  = With one strong argument, you can even convince another classmate of it.

The original sentence is shorter and leaves the thing being argued for unstated.

A very natural everyday version would be:

Je kunt met één sterk argument zelfs een andere klasgenoot overtuigen.

This keeps the same meaning but starts with the subject, which may feel easier for learners.

Dutch allows several word orders depending on what you want to emphasize. The original sentence puts more focus on Met één sterk argument.