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This is more of a math question but I feel like the maths.stackexchange people won't like these approximations hence I'll stick here.

I'm trying substitute in the conditions for a low-loss transmission line into the general equation for the propogation constant for a transmission line and I'm not getting the correct answer. I think the way I'm using my approximation is downright wrong but I'm not exactly how to apply it. (I think I can't just replace wl+R with just wl since it has something else being multiplied by it)

enter image description here The correct answer is enter image description here

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    \$\begingroup\$ Try expanding the multiplication under the square-root before you start discarding terms. \$\endgroup\$ – The Photon Dec 5 '18 at 23:05

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