As in why would.........or why might 2 to the i be seen as the square root of 8 and/or the square root of 10?.......2.8 is fairly close...........to 2.7 (e).......a "good ball park figure"..........to quote my dad from the Music of the Primes.........about other stuff.......................i as an exp............
If u start at 2 itself...............on the C plane......as in at 2, 0...........on the X axis..............and used the Y for the imaginary axis.............................and since i is the square root of - 1.......................there is no place on the C plane for such a thing..........but if imagined another axis......perpendicular to the one that already exists....................and put i.............as one unit above - 1..........b/c i is seen to be the square root of - 1.............anyways..........from (2, 0) to (-1, 0) along the X axis.......is a trip 3 units long................sounds a lot like the beg of pi.......or 13.........and since an interpretation of i..........is just i.................as in its coefficient is one................just like any variable..........and I know i is not a variable..........but x or y.....by itself...........always is seen to have a coefficient of one.............so i would be one unit up...................
So what would the value................of 2 to the i.....................as in its magnitude.........in numbers?.............................well, u could use the P theorem to find out...............from 2 to i......and use trig to calculate it.....................the hyp.......would be the value...................so 3 would be the base of the triangle...........and it would be a right triangle............................so u could use P theorem...........3 across the bottom and one up.........would the square root of ten..........c squared...(the hyp) = 1 squared + 3 squared..........................so............c squared = 1 + 9...........c squared = 10...........c = the square root of 10...........which doesn't factor any further.......................but what if u used i as the value of the vertical side.................so this time, instead of 1........use i....................c squared = i squared + 3 squared...............c squared = - 1 + 9...............c squared = 8...............c = the square root of 8............
3 units in the horizontal...........one unit up......................the beg of pi..........3.1.........or 13.................
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