2 Correct mistype, add information
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Yes, Eastern Orthodox missionaries preached their version of the Gospel to outsiders in a manner not very different to Protestants and Catholics.

Russian missionaries preached Orthodoxy to RussianAlaskan natives in the 1700's (Alaska was by then a territory of the Russian Empire), converting some. Also see here. One famous Russian missionary is St. Innocent of Alaska, who started translating the Bible into Aleut.

The Russian Orthodox Church honors St. Nikolai of Japan, who (in the 1800's) preached Orthodoxy in Japan, which was never part of the Russian or Byzantine empires.

So, the short answer is:

Yes, they attempted to spread their religion to conquered areas within their borders.

Yes, they attempted to spread their religion beyond their borders.

Yes, Eastern Orthodox missionaries preached their version of the Gospel to outsiders in a manner not very different to Protestants and Catholics.

Russian missionaries preached Orthodoxy to Russian natives in the 1700's, converting some. Also see here. One famous Russian missionary is St. Innocent of Alaska, who started translating the Bible into Aleut.

The Russian Orthodox Church honors St. Nikolai of Japan, who preached Orthodoxy in Japan, which was never part of the Russian or Byzantine empires.

So, the answer is:

Yes, they attempted to spread their religion to conquered areas within their borders.

Yes, they attempted to spread their religion beyond their borders.

Yes, Eastern Orthodox missionaries preached their version of the Gospel to outsiders in a manner not very different to Protestants and Catholics.

Russian missionaries preached Orthodoxy to Alaskan natives in the 1700's (Alaska was by then a territory of the Russian Empire), converting some. Also see here. One famous Russian missionary is St. Innocent of Alaska, who started translating the Bible into Aleut.

The Russian Orthodox Church honors St. Nikolai of Japan, who (in the 1800's) preached Orthodoxy in Japan, which was never part of the Russian or Byzantine empires.

So, the short answer is:

Yes, they attempted to spread their religion to conquered areas within their borders.

Yes, they attempted to spread their religion beyond their borders.

1
source | link

Yes, Eastern Orthodox missionaries preached their version of the Gospel to outsiders in a manner not very different to Protestants and Catholics.

Russian missionaries preached Orthodoxy to Russian natives in the 1700's, converting some. Also see here. One famous Russian missionary is St. Innocent of Alaska, who started translating the Bible into Aleut.

The Russian Orthodox Church honors St. Nikolai of Japan, who preached Orthodoxy in Japan, which was never part of the Russian or Byzantine empires.

So, the answer is:

Yes, they attempted to spread their religion to conquered areas within their borders.

Yes, they attempted to spread their religion beyond their borders.