Solve Using the Square Root Property x^2=8

Problem

x2=8

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)=±√(,8)

2. Simplify the left side of the equation.

x=±√(,8)

3. Simplify the radical on the right side by factoring out the largest perfect square, which is 4

x=±√(,4⋅2)

4. Evaluate the square root of the perfect square.

x=±2√(,2)

Final Answer

x=±2√(,2)

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