Solve 1/m=13-6sqrt{3}

$$\frac { 1 } { m } = 13 - 6 \sqrt { 3 }$$

Solve for m

$$m=\frac{6\sqrt{3}+13}{61}\approx 0.383480407$$

Steps for Solving Linear Equation

Variable m cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by m.

$$1=m\times 13-6\sqrt{3}m$$

Swap sides so that all variable terms are on the left hand side.

$$m\times 13-6\sqrt{3}m=1$$

Combine all terms containing m.

$$\left(13-6\sqrt{3}\right)m=1$$

Divide both sides by 13-6\sqrt{3}.

$$\frac{\left(13-6\sqrt{3}\right)m}{13-6\sqrt{3}}=\frac{1}{13-6\sqrt{3}}$$

Dividing by 13-6\sqrt{3} undoes the multiplication by 13-6\sqrt{3}.

$$m=\frac{1}{13-6\sqrt{3}}$$

Divide 1 by 13-6\sqrt{3}.

$$m=\frac{6\sqrt{3}+13}{61}$$