Solve p=frac{sqrt{3MK}}{2T^2}

$$p = \frac { \sqrt { 3 M K } } { 2 T ^ { 2 } }$$

Solve for K

$$\left\{\begin{matrix}K=\frac{4p^{2}T^{4}}{3M}\text{, }&p\geq 0\text{ and }T\neq 0\text{ and }M\neq 0\\K\in \mathrm{R}\text{, }&M=0\text{ and }T\neq 0\text{ and }p=0\end{matrix}\right.$$

Steps for Solving Radical Equations

Multiply both sides of the equation by 2T^{2}.

$$p\times 2T^{2}=\sqrt{3MK}$$

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

$$\sqrt{3MK}=p\times 2T^{2}$$

Square both sides of the equation.

$$3MK=4p^{2}T^{4}$$

Divide both sides by 3M.

$$\frac{3MK}{3M}=\frac{4p^{2}T^{4}}{3M}$$

Dividing by 3M undoes the multiplication by 3M.

$$K=\frac{4p^{2}T^{4}}{3M}$$

Solve for M

$$\left\{\begin{matrix}M=\frac{4p^{2}T^{4}}{3K}\text{, }&p\geq 0\text{ and }T\neq 0\text{ and }K\neq 0\\M\in \mathrm{R}\text{, }&K=0\text{ and }T\neq 0\text{ and }p=0\end{matrix}\right.$$

Steps for Solving Radical Equations

Multiply both sides of the equation by 2T^{2}.

$$p\times 2T^{2}=\sqrt{3MK}$$

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

$$\sqrt{3MK}=p\times 2T^{2}$$

Square both sides of the equation.

$$3KM=4p^{2}T^{4}$$

Divide both sides by 3K.

$$\frac{3KM}{3K}=\frac{4p^{2}T^{4}}{3K}$$

Dividing by 3K undoes the multiplication by 3K.

$$M=\frac{4p^{2}T^{4}}{3K}$$