Geturðu skrifað þetta rétt?

It is getur + þú.

• getur = the present-tense form of geta for you / he / she / it
• þú = you singular

So the full form is Getur þú ...?, but Icelandic very often joins them together as Geturðu ...?. That joined form is completely normal and standard.

Because this is a yes/no question.

In Icelandic, yes/no questions often put the finite verb first:

• Þú getur skrifað þetta rétt. = statement
• Geturðu skrifað þetta rétt? = question

So the word order changes the same way English changes You can... to Can you...?

After geta, Icelandic normally uses the verb form called sagnbót or supine.

So:

• að skrifa = to write
• skrifað = the form used after geta in this kind of sentence

That means Geturðu skrifað ...? is the expected pattern.

This can feel strange to English speakers, because English uses the bare infinitive after can: can write. Icelandic uses a different form here.

Þetta means this and here it is the direct object of skrifað.

It is the neuter singular form. That is the form you use when the thing being referred to is neuter, or when this stands on its own without naming the noun directly.

Also, in neuter singular, the nominative and accusative forms are the same, so þetta is exactly what you expect here.

Here rétt means correctly.

It comes from the adjective réttur = right / correct, but Icelandic often uses the neuter singular form of an adjective in an adverb-like way.

So:

• réttur = correct, right
• rétt = correctly / right

In this sentence, rétt modifies the action skrifað, so it works like an adverb in English.

Yes.

Both are possible:

• Geturðu skrifað þetta rétt?
• Getur þú skrifað þetta rétt?

The joined form geturðu is very common and natural. The separated form getur þú can sound a bit more careful, emphatic, or formal in style, but it is also correct.

It is talking to one person.

That is because þú means you singular.

If you were talking to more than one person, you would use þið and a different verb form:

• Getið þið skrifað þetta rétt? = Can you all write this correctly?

Icelandic normally uses singular þú in situations where English simply says you.

A useful quick guide is:

• þ sounds like th in think
• ð usually sounds like th in this

So in this sentence:

• þetta starts with the think sound
• the ð in -ðu is the softer this sound, though in fast speech it can be quite light

These two letters are very important in Icelandic, and English speakers usually need a bit of practice with them at first.