Solve sqrt{3}=p/q

$$\sqrt { 3 } = \frac { p } { q }$$

Solve for p

$$p=\sqrt{3}q$$

$$q\neq 0$$

Solution Steps

Multiply both sides of the equation by q.

$$q\sqrt{3}=p$$

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

$$p=q\sqrt{3}$$

Solve for q

$$q=\frac{\sqrt{3}p}{3}$$

$$p\neq 0$$

Steps for Solving Linear Equation

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

$$q\sqrt{3}=p$$

The equation is in standard form.

$$\sqrt{3}q=p$$

Divide both sides by \sqrt{3}.

$$\frac{\sqrt{3}q}{\sqrt{3}}=\frac{p}{\sqrt{3}}$$

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

$$q=\frac{p}{\sqrt{3}}$$

Divide p by \sqrt{3}.

$$q=\frac{\sqrt{3}p}{3}$$

Variable q cannot be equal to 0.

$$q=\frac{\sqrt{3}p}{3}\text{, }q\neq 0$$