What language did Jesus and the apostles speak?

 A Galilean dialect of Aramaic.

The Spoke Aramaic they wrote Hebrew and Greek...and I imagine there was some Latin as well

They spoke Aramaic, the language everyone in that part of the world spoke at that time.

What languages do we know for sure?

The sign above Jesus on the stake was written in "Hebrew, Greek, and Latin"

The expression:  "Eli, Eli, lama sabachthani?” may be Aramaic of a Galilean dialect

Eli and lama are Hebrew terms, whereas, sabachthani, seems to be Aramaic.

Rab·boʹni could be one of the many Semitic languages which included Aramaic. 

But according to John's gospel it is Hebrew:

16 Jesus said to her: “Mary!” On turning around, she said to him in Hebrew: “Rab·boʹni!”

The question isn't 'what language, but what LANGUAGES did Jesus and the apostles speak.

From the scriptural accounts, Greek, Latin, Hebrew and Aramaic.

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Aramaic .... and probably, some Greek. Then again, Jesus was always multi-lingual.

Aramaic......

Seditio........

At least Aramaic and Koine Greek, which was the lingua franca of the time.  We know Jesus taught from Tobit, so he must have known Hebrew, and he and the apostles might have known some Latin courtesy of the Romans.

Aramaic was the language of that time and place.

Since they never existed it would be pretend.

Imaginary speak. 

We don't know for CERTAIN...we don't even know for certain if Jesus was a real person.  We have fairly weak evidence (not none, but weak) evidence that he was real.  If he were real, he most likely spoke Aramaic.  And he was most likely illiterate.  Again, that's 'most likely'.  We don't know.

The gospels, written decades after Jesus's purported death, were written in Hellenistic Greek.  While Latin was the official language of Rome, the eastern half of the empire still mostly operated in Greek.

They all spoke French.

HEBREW BUT GOD CAN SPEAK THEM ALL!!

the same as the bible, english, you fool

Mainly Aramaic, along with over a half-dozen other languages:  

Jesus and his Apostles were among the wisest and wealthiest men in the world: They were descendants of the wisest Jewish scholars; who were exiled in Babylon, then resettled in Galilee. All the Apostles were independently wealthy and retired; under age 35. Simon Peter, who was independently wealthy, owned a fishing craft, equipped with sleeping quarters, that could accommodate a crew of over a dozen. He owned much of the east coast of the Sea of Galilee, which is actually a lake. The Zebedee's were ship manufacturers. Matthew retired just over 30 years old and followed Jesus. The Romans rewrote scripture, belittling the Apostles and women, while supporting Theophilus, Luke, and paul.

Most likely their native language was Aramaic.
It's possible that one or more of them were fluent in Greek and/or Hebrew and/or Latin (roughly in that order).

Contrary to what Dewcoons wrote, we have several passages in the Gospels where Jesus is quoted using Aramaic words, and two passages where he uses Aramaic in complete sentences. (The authors actually make the effort to transliterate the Aramaic into Greek for us.) On the other hand: **as far as I know** there is no passage in the Gospels that describes him speaking Hebrew.

Well Jesus was a Jew he spoke Hebrew and the second most common language was Greek and the third most common was Roman or Italian

If you read through the gospels, you will find places where Jesus is recorded as having spoken Hebrew and Greek.  There is no place where it is recorded that he spoke Aramaic, which was the standard language for that region at the time he lived.  That implies that he normally spoke Aramaic.  But at time he would use Hebrew or Greek words and phrases to make points.  He often quoted the Jewish scriptures in Hebrew (the language in which they were written.)

All four of the gospels that we have are written in Greek.  As are all the letters written by the apostles.  So everything we have that Jesus said is recorded in Greek.  There are some scholars who argue that the gospel of Matthew may have originally been written in Aramaic and then translated into Greek.  Based on some of the grammar and word choices that follow Aramaic grammar.  But it could also be because the teachings were original spoken in Aramaic.  There are known surviving copies of the gospel of Matthew in Aramaic.

We know that Jesus could read, he does it several times in the gospels reading from the scrolls in the temple and synagogues.  He would have been writing Hebrew.  We also have one occasion where Jesus wrote something.  We do not know the language.

We know that Paul was fluent in Greek, Hebrew and Aramaic. And may have known other languages as well.  He traveled for man years and was able to communicate everywhere that he went. Peter, James and Jude all wrote in Greek. We are specifically told that any of the other disciples knew an languages beyond their native Aramaic. 

In much of the "known world" at that time people spoke their own language.  But they also spoke Greek.  It was the "universal" language of that time.  If you were a Jew, you would also know Hebrew as all the Jewish scriptures and rituals were in Hebrew.

Some branch of Babel . TD this down if you agree .