The square of the square root of 2 is 2, not four.
The square of the square root of 8 is 8, not 64.
The square root of 8 is not 8. The square root of 8 is 2 times the square root of two.
You seem to be reading "a = square root of 8" as "a squared = 8".
In you "a = " statements, try squaring both sides. Maybe that'll make it clearer.
This academic difficult for me really good
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Great expectation for True Blood Seasons 1-5 TV as well as the next season!