Solve x/sqrt{3}=20

$$\frac { x } { \sqrt { 3 } } = 20$$

Solve for x

$$x=20\sqrt{3}\approx 34.641016151$$

Steps for Solving Linear Equation

Rationalize the denominator of \frac{x}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{x\sqrt{3}}{\left(\sqrt{3}\right)^{2}}=20$$

The square of \sqrt{3} is 3.

$$\frac{x\sqrt{3}}{3}=20$$

Multiply both sides by 3.

$$x\sqrt{3}=20\times 3$$

Multiply 20 and 3 to get 60.

$$x\sqrt{3}=60$$

The equation is in standard form.

$$\sqrt{3}x=60$$

Divide both sides by \sqrt{3}.

$$\frac{\sqrt{3}x}{\sqrt{3}}=\frac{60}{\sqrt{3}}$$

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

$$x=\frac{60}{\sqrt{3}}$$

Divide 60 by \sqrt{3}.

$$x=20\sqrt{3}$$