For example take sqrt(2) and sqrt(3) . sqrt(2)= 1.4142...... sqrt(3)=1.7320 now we interleave their digits , sqrt(2) takes odd digits and sqrt(3) takes even digits
so we get 1.147134220 , does this produce an algebraic number , we know it is irrational . We also know that sqrt(2) and sqrt(3) can be created from interleaved numbers .
I thought about trying to use a Fourier series or something, but I'm not sure where to start .