Were exactly did I go wrong in rationalizing denominator? The question is to rationalize: $\frac{\sqrt5}{\sqrt10 - \sqrt5}$ 
I stopped at $\sqrt50 + 1$ after multiplying by the conjugate and cancelling out everything because I knew at this point my answer is wrong. The correct answer should be $\sqrt 2 + 1$

First note that $\sqrt{10}=\sqrt{5}\cdot\sqrt{2}$, then remove $\sqrt{5}$ as a factor from the top & bottom.
Then multiply the fraction by $\frac{\sqrt{2}+1}{\sqrt{2}+1}$. Hope I helped.
