here's what I get, as you have written it.
http://www.wolframalpha.com/input/?i=2%C3%B7%E2%88%9A5%2B%E2%88%9A3%2B1%C3%B7%E2%88%9A3%2B2-3%C3%B7%E2%88%9A5%2B%E2%88%9A2
I suggest some parentheses if you had intended other groupings
2÷√5+√3+1÷√3+2-3÷√5+√2
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