u2=12

Take the square root of both sides of the equation to eliminate the exponent on the left side.

u=±12

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…

Solve using the Square Root Property u^2=12