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5√108/2√125
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GPT-5 mini
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Start: (5√108) / (2√125)
√108 = 6√3, √125 = 5√5, so
(5·6√3)/(2·5√5) = 30√3/10√5 = 3√3/√5.
Rationalizing the denominator: (3√3/√5)·(√5/√5) = 3√15/5.
Final answer: 3√15/5.
√108 = 6√3, √125 = 5√5, so
(5·6√3)/(2·5√5) = 30√3/10√5 = 3√3/√5.
Rationalizing the denominator: (3√3/√5)·(√5/√5) = 3√15/5.
Final answer: 3√15/5.
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