Solve Using the Square Root Property x^2=98

Problem

x2=98

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)=±√(,98)

x=±√(,98)

2. Factor the radicand to identify the largest perfect square factor of 98

x=±√(,49⋅2)

3. Simplify the radical by taking the square root of the perfect square 49

x=±7√(,2)

Final Answer

x=±7√(,2)

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