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- 7 年前最佳解答
(2√5/3) × ((9√6/√12)
= (2×√5) × (9×√6) / (3×√12)
= ((2×9) /3) × ((√5×√6) /√12)
= (18/3) × ((√5×√6) / (√2×√6))
= 6× (√5/√2)
= (6×√5×√2) / (√2×√2)
= (6/2) × (√5×√2)
= 3×√10
= 3√10
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(2√5/3) × ((9√6/√12)
= (2×√5) × (9×√6) / (3×√12)
= ((2×9) /3) × ((√5×√6) /√12)
= (18/3) × ((√5×√6) / (√2×√6))
= 6× (√5/√2)
= (6×√5×√2) / (√2×√2)
= (6/2) × (√5×√2)
= 3×√10
= 3√10