Solve for x x^2=12

Problem

x2=12

Solution

1. Identify the equation as a quadratic equation in the form x2=k

2. Apply the square root property by taking the square root of both sides of the equation, remembering to include both the positive and negative roots.

x=±√(,12)

3. Simplify the radical by factoring out the largest perfect square from the radicand.

x=±√(,4⋅3)

4. Extract the square root of the perfect square.

x=±2√(,3)

Final Answer

x=±2√(,3)

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