化简求值:(x分之1+y分之1)÷ x分之x2-y2,其中x=根号2,y=1
问题描述:
化简求值:(x分之1+y分之1)÷ x分之x2-y2,其中x=根号2,y=1
快
答
(1/x+1/y)/[(x^2-y^2)/x]=(x+y)/xy*[x/(x+y)(x-y)]=1/[y(x-y)]=1/(√2-1)=√2+1