Solve Using the Square Root Property x^2=18

Problem

x2=18

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=±√(,18)

2. Factor the radicand to identify the largest perfect square factor of 18

x=±√(,9⋅2)

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

x=±3√(,2)

4. List the individual solutions for the variable x

x=3√(,2),−3√(,2)

Final Answer

x=±3√(,2)

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