Solve Using the Square Root Property x^2=45

Problem

x2=45

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)=±√(,45)

x=±√(,45)

2. Factor the radicand to identify the largest perfect square factor of 45

x=±√(,9⋅5)

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

x=±3√(,5)

Final Answer

x=±3√(,5)

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