What's the pronunciation of this word 달걀국?
I watched TV yesterday, and I heard the people pronounced this word as"개란꾸".
Maybe I didn't hear right, just confused.

Question

Answer

달걀국 and 계란국 are the same things. Egg soup.

And you're right the ㄱin 국 is pronounced like ㄲ, because it's a compound noun. (계란+국). 
So, it's pronounced 달걀-꾹. or 계란-꾹.

Answer

계란 = 달걀 an egg
국 = soup
계란국=달걀국 
soup made of eggs