To solve the equation \( x^2 = 36 \) by inspection, we can find numbers whose square equals 36.
Taking the square root of both sides, we obtain:
\[ x = \sqrt{36} \quad \text{or} \quad x = -\sqrt{36} \]
Calculating the square roots, we find:
\[ x = 6 \quad \text{and} \quad x = -6 \]
Thus, the two real solutions are \( -6 \) and \( 6 \).
Since we need to enter the lesser number first, the final answer is:
\[ -6, 6 \]