Solve 1/x=sqrt{3}

$$\frac { 1 } { x } = \sqrt { 3 }$$

Solve for x

$$x=\frac{\sqrt{3}}{3}\approx 0.577350269$$

Steps for Solving Linear Equation

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

$$1=x\sqrt{3}$$

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

$$x\sqrt{3}=1$$

The equation is in standard form.

$$\sqrt{3}x=1$$

Divide both sides by \sqrt{3}.

$$\frac{\sqrt{3}x}{\sqrt{3}}=\frac{1}{\sqrt{3}}$$

Dividing by \sqrt{3} undoes the multiplication by \sqrt{3}.

$$x=\frac{1}{\sqrt{3}}$$

Divide 1 by \sqrt{3}.

$$x=\frac{\sqrt{3}}{3}$$