Solve 6/x=1/sqrt{3}

$$\frac { 6 } { x } = \frac { 1 } { \sqrt { 3 } }$$

Solve for x

$$x=6\sqrt{3}\approx 10.392304845$$

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.

$$6=\frac{1}{3}x\times 3^{\frac{1}{2}}$$

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

$$\frac{1}{3}x\times 3^{\frac{1}{2}}=6$$

Reorder the terms.

$$\frac{1}{3}\sqrt{3}x=6$$

The equation is in standard form.

$$\frac{\sqrt{3}}{3}x=6$$

Divide both sides by \frac{1}{3}\sqrt{3}.

$$\frac{3\times \frac{\sqrt{3}}{3}x}{\sqrt{3}}=\frac{3\times 6}{\sqrt{3}}$$

Dividing by \frac{1}{3}\sqrt{3} undoes the multiplication by \frac{1}{3}\sqrt{3}.

$$x=\frac{3\times 6}{\sqrt{3}}$$

Divide 6 by \frac{1}{3}\sqrt{3}.

$$x=6\sqrt{3}$$