Convert equation to Riemann sum to definite integral

Question

How do you convert this equation to Riemann sum then to definite integral

$$ \lim_{n \to \infty } \frac{1}{n} \Bigg(\sqrt{\frac{1}{n}} + \sqrt{\frac{2}{n}} + \sqrt{\frac{3}{n}} + ... + \sqrt{\frac{n}{n}} \Big) $$

Answer 1

HINT: It leads to $$ \int_0^1 \sqrt x\,dx. $$

Answer 2

Hint: $$\lim_{n\to \infty}\frac{1}{n}\sum_{r=1}^n f\left(\frac{r}{n}\right)=\int_{0}^1 f(x) dx$$