To solve the equation \( x^2 = 225 \) using the square root property, we take the square root of both sides. According to the square root property, if \( x^2 = a \), then \( x = \pm \sqrt{a} \).
So for the equation \( x^2 = 225 \):
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Take the square root of both sides: \[ x = \pm \sqrt{225} \]
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Calculate the square root: \[ \sqrt{225} = 15 \]
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Therefore, the solutions are: \[ x = 15 \quad \text{and} \quad x = -15 \]
The complete solution is: \[ x = 15, -15 \]