原式=sqr(16+2*(1+sqr5)+2(1+sqr5)*2sqr3)
16+2*(1+sqr5)=12+6+2sqr5=12+(1+sqr5)^2=(2sqr3)^2+(1+sqr5)^2
16+2*(1+sqr5)+2(1+sqr5)*2sqr3正好可以配方成:[2sqr3)^2+(1+sqr5)^2]^2
所以:原式=(1+sqr5+2sqr3)
sqr是根号的意思.
原式=sqr(16+2*(1+sqr5)+2(1+sqr5)*2sqr3)
16+2*(1+sqr5)=12+6+2sqr5=12+(1+sqr5)^2=(2sqr3)^2+(1+sqr5)^2
16+2*(1+sqr5)+2(1+sqr5)*2sqr3正好可以配方成:[2sqr3)^2+(1+sqr5)^2]^2
所以:原式=(1+sqr5+2sqr3)
sqr是根号的意思.