(b+根号2）^2=(a+根号2）（ c+根号2）b^2+2b根号2+2=ac+(a+c)根号2+2因为a,b,c都是有理数,所以左右对应项相等,即：b^2+2=ac+22b=a+cb^2=ac,b=(a+c)/2ac=[(a+c)/2]^24ac=a^2+2ac+c^2a^2-2ac+c^2=0(a-c)^2=0故：a=cb=(...