Solve Using the Square Root Property 3/5m^2=3

$\frac{3}{5} m^{2} = 3$

Multiply both sides of the equation by $\frac{5}{3}$ .

$\frac{5}{3} (\frac{3}{5} m^{2}) = \frac{5}{3} \cdot 3$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{3} (\frac{3}{5} m^{2})$ .

Combine $\frac{3}{5}$ and $m^{2}$ .

$\frac{5}{3} \cdot \frac{3 m^{2}}{5} = \frac{5}{3} \cdot 3$

Combine.

$\frac{5 (3 m^{2})}{3 \cdot 5} = \frac{5}{3} \cdot 3$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 (3 m^{2})}{3 \cdot 5} = \frac{5}{3} \cdot 3$

Rewrite the expression.

$\frac{3 m^{2}}{3} = \frac{5}{3} \cdot 3$

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 m^{2}}{3} = \frac{5}{3} \cdot 3$

Divide $m^{2}$ by $1$ .

$m^{2} = \frac{5}{3} \cdot 3$

Simplify the right side.

Cancel the common factor of $3$ .

Cancel the common factor.

$m^{2} = \frac{5}{3} \cdot 3$

Rewrite the expression.

$m^{2} = 5$

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

$m = \pm \sqrt{5}$

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.

$m = \sqrt{5}$

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

$m = - \sqrt{5}$

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

$m = \sqrt{5}, - \sqrt{5}$

The result can be shown in multiple forms.

Exact Form:

$m = \sqrt{5}, - \sqrt{5}$

Decimal Form:

$m = 2.23606797 \dots, - 2.23606797 \dots$