Question

已知：A+B=-8,AB=6,求B乘以根号B/A+A乘以根号A/B的值

Answer 1

B乘以根号B/A+A乘以根号A/B

=(B/A)*根号(AB)+(A/B)*根号(AB)

=(B/A+A/B)*根号(AB)

=（A^2+B^2）*根号(AB)/(AB)

=[(A+B)^2-2AB]*根号(AB)/(AB)

=[(-8)^2-2*6]**根号(6)/6

=52*根号(6)/6

=26*根号(6)/3