Solve Using the Square Root Property x^2=20

Problem

x2=20

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)=±√(,20)

x=±√(,20)

2. Factor the radicand to identify the largest perfect square factor of 20

x=±√(,4⋅5)

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

x=±2√(,5)

Final Answer

x=±2√(,5)

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