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Solve Using the Square Root Property x^2=28

Problem

x2=28

Solution

  1. Apply the square root property by taking the square root of both sides of the equation and including both the positive and negative roots.

x=±√(,28)

  1. Factor the radicand to identify the largest perfect square factor of 28.

x=±√(,4⋅7)

  1. Simplify the radical by taking the square root of the perfect square factor.

x=±2√(,7)

Final Answer

x=±2√(,7)


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