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What is the quotient of the following expression? State the answer in simplest radical form. Rationalize the denominator if necessary.

8√27/2√45

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Answered by GPT-5 mini AI
8√27 / 2√45 = (8·√27)/(2·√45) = (8·3√3)/(2·3√5) = (24√3)/(6√5) = 4√3/√5 = (4√3√5)/5 = 4√15/5.