text: ## Algebra 2 (1st Edition)
  
  $\displaystyle \frac{-6}{7-\sqrt{5}}=\frac{-42-6\sqrt{5}}{44}$
  $\displaystyle \frac{-6}{7-\sqrt{5}}\qquad$ ...rationalize the denominator by multiplying it with its conjugate, $7+\sqrt{5}$. $=\displaystyle \frac{-6}{7-\sqrt{5}}\cdot\frac{7+\sqrt{5}}{7+\sqrt{5}}\qquad$ ...simplify. $=\displaystyle \frac{-42-6\sqrt{5}}{49+7\sqrt{5}-7\sqrt{5}-5}\qquad$ ...simplify the denominator. $=\displaystyle \frac{-42-6\sqrt{5}}{44}$
explanation: The document contains a step-by-step solution to a math problem, specifically rationalizing the denominator of a fraction. It does not contain a question but rather a detailed explanation of the solution.
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: ## Algebra 2 (1st Edition)
  
  $\displaystyle \frac{-6}{7-\sqrt{5}}=\frac{-42-6\sqrt{5}}{44}$
  $\displaystyle \frac{-6}{7-\sqrt{5}}\qquad$ ...rationalize the denominator by multiplying it with its conjugate, $7+\sqrt{5}$. $=\displaystyle \frac{-6}{7-\sqrt{5}}\cdot\frac{7+\sqrt{5}}{7+\sqrt{5}}\qquad$ ...simplify. $=\displaystyle \frac{-42-6\sqrt{5}}{49+7\sqrt{5}-7\sqrt{5}-5}\qquad$ ...simplify the denominator. $=\displaystyle \frac{-42-6\sqrt{5}}{44}$
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a step-by-step solution to a math problem, specifically rationalizing the denominator of a fraction. It does not contain a question but rather a detailed explanation of the solution.
  
  Label: no-question