To solve the equation $x^2 = 36$ using the square root method, follow these steps:

Steps:

1. Isolate the quadratic term:
   The equation is already in the form $x^2 = 36$.

2. Take the square root of both sides:
   $x = \pm\sqrt{36}$

3. Simplify the square root:
   $x = \pm 6$

Solution:

The solutions to the equation $x^2 = 36$ are:

$x = 6 \quad \text{or} \quad x = -6$

Would you like more details or have any questions?

Follow-up Questions:

1. What would the solutions be for $x^2 = 49$?
2. How would you solve $x^2 = 0$ using the square root method?
3. What if the equation was $2x^2 = 72$?
4. Can you apply the square root method to $x^2 = -25$?
5. How do you determine the number of solutions when using the square root method?

Tip:

Always remember to include both the positive and negative roots when solving equations using the square root method.