1. **State the problem:** Find the distance between the two points $(-7, -6)$ and $(-3, 5)$ in simplest radical form. 2. **Formula used:** The distance $d$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the distance formula: $$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ 3. **Substitute the coordinates:** $$d = \sqrt{(-3 - (-7))^2 + (5 - (-6))^2} = \sqrt{(-3 + 7)^2 + (5 + 6)^2}$$ 4. **Simplify inside the square root:** $$d = \sqrt{4^2 + 11^2} = \sqrt{16 + 121} = \sqrt{137}$$ 5. **Simplify the radical:** 137 is a prime number, so $\sqrt{137}$ is already in simplest radical form. **Final answer:** $$d = \sqrt{137}$$