来自钱义东的问题
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)
1回答
2020-08-21 21:50
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.