To solve the equation \( x^2 = 36 \) by inspection, we can take the square root of both sides.
The equation can be rewritten as: \[ x = \pm \sqrt{36} \]
Calculating the square root of 36 gives us: \[ \sqrt{36} = 6 \]
Thus, the two real solutions are: \[ x = 6 \quad \text{and} \quad x = -6 \]
Since you are asked to enter the lesser number first, the solutions are: \[ {-6, 6} \]