Simplify the following completely:

A) 25x65x7\displaystyle \sqrt{{{25}{x}^{{6}}}}\cdot\sqrt{{{5}{x}^{{7}}}}

Answer: 25x65x7=AB\displaystyle \sqrt{{{25}{x}^{{6}}}}\cdot\sqrt{{{5}{x}^{{7}}}}={A}\sqrt{{{B}}}, where
A=\displaystyle {A}= and
B=\displaystyle {B}=

Preview A\displaystyle {A}:  
Preview B\displaystyle {B}:  



B) 12x86x4\displaystyle \sqrt{{{12}{x}^{{8}}}}\cdot\sqrt{{{6}{x}^{{4}}}}

Answer: 12x86x4=AB\displaystyle \sqrt{{{12}{x}^{{8}}}}\cdot\sqrt{{{6}{x}^{{4}}}}={A}\sqrt{{{B}}}, where
A=\displaystyle {A}= and
B=\displaystyle {B}=

Preview A\displaystyle {A}:  
Preview B\displaystyle {B}: