Is √2√2 rational ? And √2√2√2?. And √2√2√2⋯?
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see
√2√2= 2 (rational)
√2√2√2=2√2= 8 (rational)
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√2×√2 is rational because it gives 2
√2×√2×√2 is irrational because it gives 2√2
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