Solve Using the Square Root Property x^2=75

Problem

x2=75

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)=±√(,75)

x=±√(,75)

2. Factor the radicand to identify the largest perfect square factor of 75

x=±√(,25⋅3)

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

x=±5√(,3)

Final Answer

x=±5√(,3)

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