(3根号2+2根号5)(4根号5-3根号2)

问题描述:

(3根号2+2根号5)(4根号5-3根号2)

原式=(3√2+2√5)(4√5-3√2)
=3√2×4√5-3√2×3√2+2√5×4√5-2√5×3√2
=12√10-18+40-6√10
=6√10+22