
计算:(根号5+根号3)分之(根号5-根号3)-(5根号2-2根号5)÷(5根号2+2根号5)
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(根号5+根号3)分之(根号5-根号3)-(5根号2-2根号5)÷(5根号2+2根号5)
=(√5+√3)^2/(√5-√3)(√5+√3)-(5√2-2√5)^2/(5√2+2√5)(5√2-2√5)
=(5+2√15+3)/2-(50-20√10+20)/30
=4+√15-(7/3-2√10/3)
=4+√15-7/3+2√10/3
=5/3+√15+(2/3)√10
=(√5+√3)^2/(√5-√3)(√5+√3)-(5√2-2√5)^2/(5√2+2√5)(5√2-2√5)
=(5+2√15+3)/2-(50-20√10+20)/30
=4+√15-(7/3-2√10/3)
=4+√15-7/3+2√10/3
=5/3+√15+(2/3)√10
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