As usual your argument is circular. ie "because I've found (square roots, Pi, Phi, tan, sine, whatever) then the Egyptians must have understood them. If the Egyptians understood them then they could have used them."

It masks the fact that the only "proof" of your claims is your own assertion.

And with no research to back your assertion, that the Ancient Egyptians could have understood the modern mathematical concepts that you use so freely, there is very little value to your original claim.