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MEDAL AND FAN Part A: Use the properties of exponents to explain why 18 to the power of 1/5 is called the fifth root of 18. (5 points) Part B: The length of a rectangle is 2 units and its width is (square root symbol) 2 unit. Is the area of the rectangle rational or irrational? Justify your answer. (5 points)
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Try using a proof by contradiction to prove that \[2\sqrt{2}\]is either irrational or rational. Assume it is rational and try to show a contradiction. Protip: A rational number can be represented by \[a/b\] where a over b is in the lowest possible terms and a and b are integers.
This may be overkill; what class is this for?
Algebra One. :(
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