Solve d=frac{sqrt{v}}{4}

$$d = \frac { \sqrt { v } } { 4 }$$

Solve for v

$$v=16d^{2}$$

$$d\geq 0$$

Steps for Solving Radical Equations

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

$$\frac{\sqrt{v}}{4}=d$$

Multiply both sides by 4.

$$\frac{\frac{1}{4}\sqrt{v}}{\frac{1}{4}}=\frac{d}{\frac{1}{4}}$$

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

$$\sqrt{v}=\frac{d}{\frac{1}{4}}$$

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

$$\sqrt{v}=4d$$

Square both sides of the equation.

$$v=16d^{2}$$

Solve for d

$$d=\frac{\sqrt{v}}{4}$$

$$v\geq 0$$