Square Root Equation 6A8A21

1. **State the problem:** We need to solve the equation $$\sqrt{x} = 25$$ for $$x$$. 2. **Recall the formula and rule:** The square root function $$\sqrt{x}$$ is the inverse of squaring. To undo the square root, we square both sides of the equation. 3. **Apply inverse operation:** Square both sides: $$\left(\sqrt{x}\right)^2 = 25^2$$ 4. **Simplify:** $$x = 625$$ 5. **Check the solution:** Substitute $$x = 625$$ back into the original equation: $$\sqrt{625} = 25$$ which is true. **Final answer:** $$x = 625$$