Solve 78.1=sqrt{p*12z}

$$78.1 = \sqrt { p \cdot 12 z }$$

Solve for p

$$p=\frac{609961}{1200z}$$

$$z\neq 0$$

Steps for Solving Radical Equations

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

$$\sqrt{p\times 12z}=78.1$$

Square both sides of the equation.

$$12zp=6099.61$$

Divide both sides by 12z.

$$\frac{12zp}{12z}=\frac{6099.61}{12z}$$

Dividing by 12z undoes the multiplication by 12z.

$$p=\frac{6099.61}{12z}$$

Divide 6099.61 by 12z.

$$p=\frac{609961}{1200z}$$

Solve for z

$$z=\frac{609961}{1200p}$$

$$p\neq 0$$

Steps for Solving Radical Equations

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

$$\sqrt{p\times 12z}=78.1$$

Square both sides of the equation.

$$12pz=6099.61$$

Divide both sides by 12p.

$$\frac{12pz}{12p}=\frac{6099.61}{12p}$$

Dividing by 12p undoes the multiplication by 12p.

$$z=\frac{6099.61}{12p}$$

Divide 6099.61 by 12p.

$$z=\frac{609961}{1200p}$$