Solve t=frac{sqrt{v}}{3}

$$t = \frac { \sqrt { v } } { 3 }$$

Solve for v

$$v=9t^{2}$$

$$t\geq 0$$

Steps for Solving Radical Equations

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

$$\frac{\sqrt{v}}{3}=t$$

Multiply both sides by 3.

$$\frac{\frac{1}{3}\sqrt{v}}{\frac{1}{3}}=\frac{t}{\frac{1}{3}}$$

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

$$\sqrt{v}=\frac{t}{\frac{1}{3}}$$

Divide t by \frac{1}{3} by multiplying t by the reciprocal of \frac{1}{3}.

$$\sqrt{v}=3t$$

Square both sides of the equation.

$$v=9t^{2}$$

Solve for t

$$t=\frac{\sqrt{v}}{3}$$

$$v\geq 0$$