Cl/Cd equations

[TonyEsposito]

TL;DR Summary

cant figure it out equations

Hi, im studying flight mechanics from the book of Warren F Phillips, in a derivation is saying that from the first two equations we can derive the third one but i obtain something different entirely. What am i missing? thanks

 

[jack action]

$$C_L = \sqrt{C_{D_0}\pi e R_A} = \sqrt{C_{D_0}}\sqrt{\pi e R_A}$$
$$\frac{C_L}{C_D} = \frac{\sqrt{C_{D_0}}\sqrt{\pi e R_A}}{C_{D_0} + C_{D_{0,L}} \sqrt{C_{D_0}}\sqrt{\pi e R_A} + \frac{C_{D_0}\pi e R_A}{\pi e R_A}}$$
$$\frac{C_L}{C_D} = \frac{\sqrt{C_{D_0}}\sqrt{\pi e R_A}}{2C_{D_0} + C_{D_{0,L}} \sqrt{C_{D_0}}\sqrt{\pi e R_A}}$$
$$\frac{C_L}{C_D} = \frac{\sqrt{C_{D_0}}\sqrt{\pi e R_A}}{2C_{D_0} + C_{D_{0,L}} \sqrt{C_{D_0}}\sqrt{\pi e R_A}} \times \frac{\frac{1}{\sqrt{C_{D_0}}}}{\frac{1}{\sqrt{C_{D_0}}}}$$
$$\frac{C_L}{C_D} = \frac{\sqrt{\pi e R_A}}{2\sqrt{C_{D_0}} + C_{D_{0,L}} \sqrt{\pi e R_A}}$$

 

[TonyEsposito]

Many Many thanks!!!