国 is pronounced guó in the second tone. It means country, state or nation.
家 is pronounced jiā in the first tone. It means family, home or household.
The two words 国 家 mean country, state or nation. This reinforces the Chinese belief that a nation is one big family.


Example Sentence 

美国是一个民主国家

Měiguó shì yīgè mínzhǔ guójiā.

The United States of America is a democratic country.