m+4√mn-2√m-4√n+4n=3.其中m:n为正数,求√m+2√n-8/√m+2√n+2002的值

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m+4√mn-2√m-4√n+4n=3.其中m:n为正数,求√m+2√n-8/√m+2√n+2002的值m+4√mn-2√m-4√n+4n=3.其中m:n为正数,求√m+2√n-8/√m+2√n+20

m+4√mn-2√m-4√n+4n=3.其中m:n为正数,求√m+2√n-8/√m+2√n+2002的值
m+4√mn-2√m-4√n+4n=3.其中m:n为正数,求√m+2√n-8/√m+2√n+2002的值

m+4√mn-2√m-4√n+4n=3.其中m:n为正数,求√m+2√n-8/√m+2√n+2002的值
由m+4√mn-2√m-4√n+4n=3
得：m+4√mn+4n-2(√m+2√n)-3=0 即(√m+2√n)²-2(√m+2√n)-3=0
于是：(√m+2√n+1)(√m+2√n-3)=0
而√m+2√n+1＞1,所以只能是√m+2√n-3＝0即√m+2√n＝3
代入所求式子：
√m+2√n-8/√m+2√n+2002＝(3-8)/(3+2002)=-1/401

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