一道二次根式计算题1/(√2+1)+1/(√3+√2)+1/(2+√3)+…+1/(10+√99)

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一道二次根式计算题1/(√2+1)+1/(√3+√2)+1/(2+√3)+…+1/(10+√99)一道二次根式计算题1/(√2+1)+1/(√3+√2)+1/(2+√3)+…+1/(10+√99)一道

一道二次根式计算题1/(√2+1)+1/(√3+√2)+1/(2+√3)+…+1/(10+√99)
一道二次根式计算题
1/(√2+1)+1/(√3+√2)+1/(2+√3)+…+1/(10+√99)

一道二次根式计算题1/(√2+1)+1/(√3+√2)+1/(2+√3)+…+1/(10+√99)
=(√2-1)+(√3-√2)+……+(10-√99)
=10-1
=9
利用分母有理化.

9