1. The problem is to find the square root of the discriminant of the quadratic equation $$2x^2 + 3x - 5 = 0$$. 2. Recall the discriminant formula for a quadratic equation $$ax^2 + bx + c = 0$$ is $$\Delta = b^2 - 4ac$$. 3. Identify the coefficients: $$a = 2$$, $$b = 3$$, and $$c = -5$$. 4. Calculate the discriminant: $$\Delta = 3^2 - 4 \times 2 \times (-5) = 9 + 40 = 49$$. 5. Find the square root of the discriminant: $$\sqrt{49} = 7$$. 6. Therefore, the square root of the discriminant is 7, which corresponds to option d.