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simplify 2√3(2*²√2)

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Apparently you are trying to put a two inside the radical symbol, to achieve SQUARE ROOT.
DO NOT DO THIS...leave that 'index' empty, and that is square root.  (A cube root would require the presence of 3 in the index, but that would be better achieved by simply raising a quantity to the 1/3 power.)
Now, if thi problem is really √3(2√2), which is MUCH EASIER on the eyes, the result is 2√6.