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?
explanation: The document contains a math question and an answer. The question is about simplifying the expression ${w}^{3/2}\sqrt{32}-{w}^{3/2}\sqrt{50}$, and the answer provides a step-by-step simplification to $-w\sqrt{2w}$.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: 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?
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and an answer. The question is about simplifying the expression ${w}^{3/2}\sqrt{32}-{w}^{3/2}\sqrt{50}$, and the answer provides a step-by-step simplification to $-w\sqrt{2w}$.
  
  Label: question-and-answer