It is actually quite approachable, when you see a pattern in the numbers, use the solution for that pattern. There are just 16 word formulas written in Sanskrit. The system does not focus on learning by repetition. Very elegant, their website is clear. Here are a few basic Vedic Math Tutorials.
Site: Learn Vedic Mathematicscourse: maths.kuchnaya.com/WebMaths.html (free login required)