Solve a/8sqrt{3}=frac{sqrt{3}}{2}

$$\frac { a } { 8 \sqrt { 3 } } = \frac { \sqrt { 3 } } { 2 }$$

Solve for a

$$a=12$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$\frac{1}{12}\times 3^{\frac{1}{2}}a=\sqrt{3}$$

Reorder the terms.

$$\frac{1}{12}\sqrt{3}a=\sqrt{3}$$

The equation is in standard form.

$$\frac{\sqrt{3}}{12}a=\sqrt{3}$$

Divide both sides by \frac{1}{12}\sqrt{3}.

$$\frac{12\times \frac{\sqrt{3}}{12}a}{\sqrt{3}}=\frac{12\sqrt{3}}{\sqrt{3}}$$

Dividing by \frac{1}{12}\sqrt{3} undoes the multiplication by \frac{1}{12}\sqrt{3}.

$$a=\frac{12\sqrt{3}}{\sqrt{3}}$$

Divide \sqrt{3} by \frac{1}{12}\sqrt{3}.

$$a=12$$