Solve I=sqrt{P/R}

$$I = \sqrt { \frac { P } { R } }$$

Solve for P

$$P=RI^{2}$$

$$I\geq 0\text{ and }R\neq 0$$

Steps for Solving Radical Equations

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

$$\sqrt{\frac{P}{R}}=I$$

Square both sides of the equation.

$$\frac{1}{R}P=I^{2}$$

Divide both sides by R^{-1}.

$$\frac{\frac{1}{R}PR}{1}=\frac{I^{2}R}{1}$$

Dividing by R^{-1} undoes the multiplication by R^{-1}.

$$P=\frac{I^{2}R}{1}$$

Divide I^{2} by R^{-1}.

$$P=RI^{2}$$

Solve for I (complex solution)

$$I=\sqrt{\frac{P}{R}}$$

$$R\neq 0$$

Solve for P (complex solution)

$$P=RI^{2}$$

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

Solve for I

$$I=\sqrt{\frac{P}{R}}$$

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