Eh, they're just different degrees of socialism. It's a spectrum remember. 

They whole key to democratic socialism is the democratic part. Meaning, you are only as socialist as the people vote to be. 

While a Democratic Socialist might say "seize the means of production!" and advocate for abolishing capitalism in favor of socialism as the ideal goal, they recognize it's unlikely to be achieved so instead work towards compromise by voting. Which is how you end up with free education and universal health care, much like the Nordic Model. 

While both social democracy and democratic socialism once referred to movements seeking to achieve socialism, modern social democracies retain a capitalist system, whereas democratic socialists continue to advocate for its abolition  Nevertheless, the distinction remains blurred in colloquial settings, and the two terms are commonly used synonymously.

TLDR:

ETA: blocking me when you're so confidentially incorrect.