Solve Using the Square Root Property x^2=27

Problem

x2=27

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.

√(,x2)=±√(,27)

x=±√(,27)

2. Factor the radicand to identify the largest perfect square factor of 27

x=±√(,9⋅3)

3. Simplify the radical by taking the square root of the perfect square 9

x=±3√(,3)

Final Answer

x=±3√(,3)

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