Solve 54=6sqrt{x/4}

$$54=6 \sqrt{ \frac{ x }{ 4 } }$$

Solve for x

$$x=324$$

Steps for Solving Radical Equations

Divide both sides by 6.

$$\frac{54}{6}=\sqrt{\frac{x}{4}}$$

Divide 54 by 6 to get 9.

$$9=\sqrt{\frac{x}{4}}$$

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

$$\sqrt{\frac{x}{4}}=9$$

Square both sides of the equation.

$$\frac{1}{4}x=81$$

Multiply both sides by 4.

$$\frac{\frac{1}{4}x}{\frac{1}{4}}=\frac{81}{\frac{1}{4}}$$

Dividing by \frac{1}{4} undoes the multiplication by \frac{1}{4}.

$$x=\frac{81}{\frac{1}{4}}$$

Divide 81 by \frac{1}{4} by multiplying 81 by the reciprocal of \frac{1}{4}.

$$x=324$$