:(1+根号2)/1+(根号2+根号3)/1+根号3+根号4/1+.+(根号2008+根号2009)\1+(根号2009+根号2010)\1
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:(1+根号2)/1+(根号2+根号3)/1+根号3+根号4/1+.+(根号2008+根号2009)\1+(根号2009+根号2010)\1
:(1+根号2)/1+(根号2+根号3)/1+根号3+根号4/1+.+(根号2008+根号2009)\1+(根号2009+根号2010)\1
:(1+根号2)/1+(根号2+根号3)/1+根号3+根号4/1+.+(根号2008+根号2009)\1+(根号2009+根号2010)\1
√代表根号
分母有理化
(1+√2)/1=(√2-1)(√2+1)/(√2-1)=(2-1)/(√2-1)=√2-1
同理,(√2+√3)/2=√3-√2
以此类推
原式=√2-1+√3-√2+√4-√3+……+√2009-√2008
正负抵消
=√2009-1
分母有理化:
原式=(√2-1)+(√3-√2)+(√4-√3)+…+(√2010-√2009)
=√2010-1
化简:|1-根号2|+|根号2-根号3|+|根号3-根号4|+.+|根号2011-根号2012|
化简:|1-根号2|+|根号2-根号3|+|根号3-根号4|+.+|根号99-根号100|
计算:/1-根号2/+/根号3-根号2/+/根号3-根号4/./根号2009-根号2010/
|1-根号2|+|根号2-根号3|+|根号3-根号4|+...+|根号99-根号100|
根号3+(-1)×(根号3-根号2)
根号3分之根号12×根号2-根号1/2
计算:根号18×根号1/2-根号12/根号3
1/根号3+根号2
计算|1-根号2|+|根号2-根号3|+|根号3-2|+|2-根号5|+.+|根号2008-根号2009|-根号2009
(根号3-根号2)分之1-根号2(根号3-根号2)分之(1-根号2)
|1-根号2|-|根号3-根号2|+|根号2-根号3|+|根号8|RT.
根号1+根号2分之一+根号2+根号3分之一+...根号99+根号100
根号下(根号2+1)²+根号3(根号3-根号6)+根号8 计算
1*根号2*根号3*根号5*根号6*根号7*根号8咋算?
|1-根号2|+|根号2-根号3|+|根号3-根号4|+|根号4-根号5|+.+|根号2012-根号2013|(结果保留根号)
根号1+根号2+根号3+根号4+根号5+根号6+根号7+根号8+根号9+根号10等于多少
化简 根号8+根号18 2根号12+根号48 3根号20-根号45-根号5分之1 根号9分之2+根号50-根号32化简 根号8+根号182根号12+根号483根号20-根号45-根号5分之1根号9分之2+根号50-根号326-根号2分之3-根号3分之2
1/1+根号2+1/根号2+根号3+1/根号3+根号4+.+1/根号98+根号99=