请教壹道数学计算题、麻烦个位啦~计算:若a=4+2√3,b=4-2√3,求(√ab)/(√a+√b)
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请教壹道数学计算题、麻烦个位啦~计算:若a=4+2√3,b=4-2√3,求(√ab)/(√a+√b)
请教壹道数学计算题、麻烦个位啦~
计算:若a=4+2√3,b=4-2√3,求(√ab)/(√a+√b)
请教壹道数学计算题、麻烦个位啦~计算:若a=4+2√3,b=4-2√3,求(√ab)/(√a+√b)
分子分母同时乘以[(根号a)-(根号b)],能算的算出来约分,然后平方再开方;
或者a=[(根号3)+1]的平方,b=[(根号3)-1]的平方试试看能不能解.
(√ab)/(√a+√b)=
(ab-√(ab)b)/(a-b)=
(4-2(4-2√3))/(4√3)=(4√3-4)/(4√3)=
1-√3/3
√ab = (4+2√3)(4-2√3)=4^2-(2√3)^2=4
√a+√b=(4+2√3)+(4-2√3)=8
(√ab)/(√a+√b)=4/8=1/2