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= (3 +√15+ √6) / (5+2-3 + 2√10)
= (3 +√15+√6)/(4+2√10)
= (3+√15+√6)(4 - 2√10) / (16 - 40)
= (12 - 6√10+ 4√15 - 2√150 + 4√6 - 12√60)/ -24
= (12 - 6√10+ 4√15 - 10√6 + 4√6 - 24√15) / (-24)
= (12 - 6√10 - 20√15 - 6√6)/ (-24)
= -1/2 + 1/4√10 + 5/6 √15 + 1/4√6