已知a=根号3+根号2,b=根号3-根号2,求1⼀a+b+1⼀a-b的值 急!!!!!

2024-12-16 04:27:57
推荐回答(3个)
回答1:

a+b=2根号3
a-b=4
ab=-1
1/a+b+1/a-b=2a/(a+b)(a-b)=3根号3+2/6
你下面的题目是a+b分之1和a-b分之1的和没错吧?如果不是答案我再帮你算

回答2:

=1/a+1/b=根号3-根号2+根号3+根号2=2根号3

回答3:

a+b=√3+√2+√3-√2=2√3
a-b=√3+√2-√3+√2=2√2
1/(a+b)+1/(a-b)
=1/(2√3)+1/(2√2)
=(√3)/[(2√3)(√3)]+(√2)/[(2√2)(√2)]
=(√3)/6+(√2)/4
=2√3/12+3√2/12
=(2√3+3√2)/12