Solve 1/12=frac{3sqrt{x}}{2}

$$\frac { 1 } { 12 } = \frac { 3 \sqrt { x } } { 2 }$$

Solve for x

$$x=\frac{1}{324}\approx 0.00308642$$

Steps for Solving Radical Equations

Multiply both sides by 2.

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

Multiply \frac{1}{12} and 2 to get \frac{2}{12}.

$$\frac{2}{12}=3\sqrt{x}$$

Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.

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

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

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

Divide both sides by 3.

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

Express \frac{\frac{1}{6}}{3} as a single fraction.

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

Multiply 6 and 3 to get 18.

$$\sqrt{x}=\frac{1}{18}$$

Square both sides of the equation.

$$x=\frac{1}{324}$$