Med den rigtige skruetrækker kan jeg sætte skruen i bordet med det samme.

This is a prepositional phrase, and it means with the right screwdriver.

• med = with
• den rigtige skruetrækker = the right screwdriver

Danish often allows this kind of phrase at the beginning of a sentence to set the scene or give extra information first.

So the structure is roughly:

• Med den rigtige skruetrækker = with the right screwdriver
• kan jeg = I can
• sætte skruen i bordet med det samme = put/drive the screw into the table right away

Starting with this phrase adds emphasis to the tool: With the right screwdriver, I can...

Because Danish usually uses a double definite structure when there is an adjective before a definite noun.

Here:

• skruetrækker = screwdriver
• skruetrækkeren = the screwdriver
• den rigtige skruetrækker = the right screwdriver

When a noun is definite and has an adjective before it, Danish normally uses:

• a separate definite article: den / det / de
• plus the adjective
• plus the noun in its basic singular/plural form

So:

• skruetrækkeren = the screwdriver
• but den rigtige skruetrækker = the right screwdriver

This is very common in Danish:

• den store bil = the big car
• det lille hus = the small house
• de gamle bøger = the old books

Because the adjective comes after the definite article den.

Compare:

• en rigtig skruetrækker = a right/correct screwdriver
• den rigtige skruetrækker = the right screwdriver

In definite phrases, adjectives usually take the -e ending:

• den rigtige
• det rigtige
• de rigtige

So rigtige here is not because the noun is plural. It is because the phrase is definite: the right screwdriver.

It is a compound noun, which is very common in Danish.

It is made from:

• skrue = screw
• trækker = puller / something that pulls

Together, skruetrækker means screwdriver.

Danish often builds nouns this way, just like English does:

• tandbørste = toothbrush
• kaffekop = coffee cup
• bordplade = table top

You do not normally separate the parts in writing.

Because Danish follows the verb-second rule in main clauses.

If the sentence begins with something other than the subject, the finite verb still has to come in the second position.

Normal order:

• Jeg kan sætte skruen i bordet med det samme. = I can put/drive the screw into the table right away.

But when the sentence begins with Med den rigtige skruetrækker, the verb moves before the subject:

• Med den rigtige skruetrækker kan jeg ...

So this is completely normal Danish word order.

Kan is the present tense of kunne, meaning can / be able to.

So:

• jeg kan = I can
• du kan = you can
• han/hun kan = he/she can

In this sentence, it expresses ability:

• Med den rigtige skruetrækker kan jeg... = With the right screwdriver, I can...

Yes, sætte often means put, set, or place, but in Danish it can also be used more broadly for putting something into position.

Here, sætte skruen i bordet means something like:

• put the screw into the table
• or more naturally in English, drive the screw into the table

Depending on context, some speakers might also use:

• skrue skruen i bordet
• sætte en skrue i bordet

But the sentence you were given is understandable and idiomatic in the sense of getting the screw into the table.

Because skruen means the screw, while en skrue means a screw.

• en skrue = a screw
• skruen = the screw

So the sentence is talking about a specific screw, not just any screw.

This matches English:

• I can drive a screw into the table = jeg kan sætte en skrue i bordet
• I can drive the screw into the table = jeg kan sætte skruen i bordet

I bordet means into the table or literally in the table.

• i = in / into
• bordet = the table

Danish often uses i where English might prefer in or into, depending on the situation. With something like a screw, English often says into the table, while Danish commonly says i bordet.

So do not translate too mechanically. In this context:

• sætte skruen i bordet = put/drive the screw into the table

Because bord is a neuter noun in Danish, so its definite singular form ends in -et.

• et bord = a table
• bordet = the table

Compare that with a common-gender noun:

• en skrue = a screw
• skruen = the screw

So:

• skrue is an en-word
• bord is an et-word

That is why the sentence has skruen but bordet.

It is an idiomatic expression meaning:

• immediately
• right away
• at once

So:

• med det samme = right away

Even though the words literally look like with the same, that is not the actual meaning here. You should learn it as a fixed phrase.

Examples:

• Kom med det samme! = Come right away!
• Jeg gør det med det samme. = I’ll do it immediately.

Because they are part of two different phrases with different functions:

1. Med den rigtige skruetrækker
   = With the right screwdriver
   This tells you how or by means of what.

2. med det samme
   = right away / immediately
   This is a fixed expression of time.

So even though both use med, they do not mean the same thing in the sentence.

A more neutral version would be:

Jeg kan sætte skruen i bordet med det samme med den rigtige skruetrækker.

But this sounds less natural because the tool phrase is heavy and works better near the front.

A more natural neutral version is:

Jeg kan med den rigtige skruetrækker sætte skruen i bordet med det samme.

And the given version:

Med den rigtige skruetrækker kan jeg sætte skruen i bordet med det samme.

is good because it emphasizes the condition or tool first.

Here is a simple breakdown:

• Med den rigtige skruetrækker = prepositional phrase
• kan = finite verb
• jeg = subject
• sætte = infinitive verb
• skruen = direct object
• i bordet = prepositional phrase
• med det samme = adverbial expression of time

So the core of the sentence is:

• jeg kan sætte skruen i bordet

And the rest adds extra meaning:

• Med den rigtige skruetrækker = with the right screwdriver
• med det samme = right away

Most naturally, it expresses ability.

• kan can sometimes mean can, may, or be able to, depending on context.
• Here, because of Med den rigtige skruetrækker, the meaning is clearly about being able to do it if the proper tool is available.

So the sense is:

With the right screwdriver, I’m able to drive the screw into the table right away.