text: valtricotinevh
  
  2022-07-14
  
  Struggling to simplify ${w}^{3/2}\sqrt{32}-{w}^{3/2}\sqrt{50}$ to $-w\sqrt{2w}$
  
  Urijah Hahn
  
  Your approach is absolutely right. But note that
  $\begin{array}{rl}\sqrt{{w}^{3}}4\sqrt{2}-\sqrt{{w}^{3}}5\sqrt{2}& =\sqrt{{w}^{3}}\left(4\sqrt{2}-5\sqrt{2}\right)\\ & =-\sqrt{{w}^{3}}\sqrt{2}=-w\sqrt{2w}.\end{array}$
  
  Do you have a similar question?