解:根号2减1的负二次方=1/(根号2-1)=1/(3-2*根号2)
=(3+2*根号2)/[(3-2*根号2)(3+2*根号2)]
=3+2*根号2
(√2-1)^-2=1/(√2-1)²=[1/(√2-1)]²
1/(√2-1)=√2+1(可以自己计算一下,用分母有理化)
则原式=(√2+1)²=3+2√2
(根号2 -1)^(-2)
=1/(根号2 -1)^2
=1/(2+1-2根号2)
=1/(3-2根号2)
=( 3+2根号2)/[((3-2根号2))*((3+2根号2))]
= 3-2根号2
不清楚再问
(√2-1)^(-2) 负指数 a^(-m)=1/a^m
=1/(√2-1)²
=1/(2-2√2+1)
=1/(3-2√2) 分母有理化
=3+2√2
1/(根号2-1)平方
=1/2+1-2根号2
=1/3-2根号2
=3+2根号2/(3-2根号2)(3+2根号2)
=3+2根号2/9-8
=3+2根号2