Solve for n n^2=2.25

$n^{2} = 2.25$

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

$n = \pm \sqrt{2.25}$

Simplify $\pm \sqrt{2.25}$ .

Rewrite $2.25$ as ${1.5}^{2}$ .

$n = \pm \sqrt{{1.5}^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$n = \pm 1.5$

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$n = 1.5$

Next, use the negative value of the $\pm$ to find the second solution.

$n = - 1.5$

The complete solution is the result of both the positive and negative portions of the solution.

$n = 1.5, - 1.5$