Question

化根号内（a的2n加3次方×b的2m加1次方）为最简二次根式（m、n为正整数,a＞0,b＞0）过程怎么写?

Answer 1

√[a^(2n+3)*b^(2m+1)]

=√[a^(2n+2+1)*b^(2m+1)]

=√[a*a^(2n+2)*b*b^(2m)]

=√{a*[a^(n+1)]^2*b*(b^m)^2}

=a^(n+1)*b^m*√a