# Solve Using the Square Root Property (3x-2)^2=32

Take the square root of each side of the equation to set up the solution for
Remove the perfect root factor under the radical to solve for .
Simplify the right side of the equation.
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the to find the first solution.
Add to both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Next, use the negative value of the to find the second solution.
Add to both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
The complete solution is the result of both the positive and negative portions of the solution.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Solve Using the Square Root Property (3x-2)^2=32