Solve V=sqrt{T/mu}

$$V = \sqrt { \frac { T } { \mu } }$$

Solve for T

$$T=\mu V^{2}$$

$$V\geq 0\text{ and }\mu \neq 0$$

Steps for Solving Radical Equations

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

$$\sqrt{\frac{T}{\mu }}=V$$

Square both sides of the equation.

$$\frac{1}{\mu }T=V^{2}$$

Divide both sides by \mu ^{-1}.

$$\frac{\frac{1}{\mu }T\mu }{1}=\frac{V^{2}\mu }{1}$$

Dividing by \mu ^{-1} undoes the multiplication by \mu ^{-1}.

$$T=\frac{V^{2}\mu }{1}$$

Divide V^{2} by \mu ^{-1}.

$$T=\mu V^{2}$$

Solve for T (complex solution)

$$T=\mu V^{2}$$

$$\mu \neq 0\text{ and }\left(V=0\text{ or }arg(V)<\pi \right)$$

Solve for V (complex solution)

$$V=\sqrt{\frac{T}{\mu }}$$

$$\mu \neq 0$$

Solve for V

$$V=\sqrt{\frac{T}{\mu }}$$

$$\left(T\geq 0\text{ and }\mu >0\right)\text{ or }\left(T\leq 0\text{ and }\mu <0\right)$$