Solve P=sqrt{kQ/1}

$$P = \sqrt { \frac { k Q } { 1 } }$$

Solve for Q

$$\left\{\begin{matrix}Q=\frac{P^{2}}{k}\text{, }&P\geq 0\text{ and }k\neq 0\\Q\in \mathrm{R}\text{, }&P=0\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Radical Equations

Anything divided by one gives itself.

$$P=\sqrt{kQ}$$

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

$$\sqrt{kQ}=P$$

Square both sides of the equation.

$$kQ=P^{2}$$

Divide both sides by k.

$$\frac{kQ}{k}=\frac{P^{2}}{k}$$

Dividing by k undoes the multiplication by k.

$$Q=\frac{P^{2}}{k}$$

Solve for P (complex solution)

$$P=\sqrt{Qk}$$

Solve for Q (complex solution)

$$\left\{\begin{matrix}Q=\frac{P^{2}}{k}\text{, }&k\neq 0\text{ and }\left(P=0\text{ or }arg(P)<\pi \right)\\Q\in \mathrm{C}\text{, }&P=0\text{ and }k=0\end{matrix}\right.$$

Solve for P

$$P=\sqrt{Qk}$$

$$\left(Q\geq 0\text{ and }k\geq 0\right)\text{ or }\left(k\leq 0\text{ and }Q\leq 0\right)$$