# Solve using the Square Root Property u^2=12 u2=12
Take the square root of both sides of the equation to eliminate the exponent on the left side.
u=±12
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite 12 as 22⋅3.
Factor 4 out of 12.
u=±4(3)
Rewrite 4 as 22.
u=±22⋅3
u=±22⋅3
Pull terms out from under the radical.
u=±23
u=±23
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.
u=23
Next, use the negative value of the ± to find the second solution.
u=-23
The complete solution is the result of both the positive and negative portions of the solution.
u=23,-23
u=23,-23
u=23,-23
The result can be shown in multiple forms.
Exact Form:
u=23,-23
Decimal Form:
u=3.46410161…,-3.46410161…
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