1. **Problem:** Find the absolute value of the complex number $2 - 10i$. 2. **Formula:** The absolute value (or modulus) of a complex number $a + bi$ is given by $$|a + bi| = \sqrt{a^2 + b^2}$$ This represents the distance from the origin to the point $(a,b)$ in the complex plane. 3. **Apply the formula:** For $2 - 10i$, we have $a = 2$ and $b = -10$. $$|2 - 10i| = \sqrt{2^2 + (-10)^2} = \sqrt{4 + 100} = \sqrt{104}$$ 4. **Simplify:** $$\sqrt{104} = \sqrt{4 \times 26} = 2\sqrt{26}$$ 5. **Answer:** The absolute value of $2 - 10i$ is $$\boxed{2\sqrt{26}}$$