Solve sqrt{a/z-2}=e

$$\sqrt { \frac { a } { z } - 2 } = e$$

Solve for a

$$a=\left(e^{2}+2\right)z$$

$$z\neq 0$$

Steps for Solving Radical Equations

Square both sides of the equation.

$$\frac{1}{z}a-2=e^{2}$$

Add 2 to both sides of the equation.

$$\frac{1}{z}a-2-\left(-2\right)=e^{2}-\left(-2\right)$$

Subtracting -2 from itself leaves 0.

$$\frac{1}{z}a=e^{2}-\left(-2\right)$$

Subtract -2 from e^{2}.

$$\frac{1}{z}a=e^{2}+2$$

Divide both sides by z^{-1}.

$$\frac{\frac{1}{z}az}{1}=\frac{\left(e^{2}+2\right)z}{1}$$

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

$$a=\frac{\left(e^{2}+2\right)z}{1}$$

Divide e^{2}+2 by z^{-1}.

$$a=\left(e^{2}+2\right)z$$

Solve for z

$$z=\frac{a}{e^{2}+2}$$

$$a\neq 0$$