text: Exponents represent how many times a number, called the base, should be multiplied by itself. For example, 6^3 is the same as 6 * 6 * 6. When solving an equation for a variable, isolating the variable requires eliminating terms by applying the term's opposite. For example, addition is the opposite of subtraction and multiplication is the opposite of division. The opposite of exponents are roots. The smallest root, or radical, is the square root, denoted by the symbol √.
  
  Solve a radical equation that contains a variable under a square root sign by eliminating the root using a squared exponent. Apply the exponent of 2 to both sides of the equation to keep it equivalent.
  
  • Exponents represent how many times a number, called the base, should be multiplied by itself.
  • The smallest root, or radical, is the square root, denoted by the symbol √.
  • Solve a radical equation that contains a variable under a square root sign by eliminating the root using a squared exponent.
  
  Solve the radical equation √(x + 3) = 5. Square both sides of the equation to eliminate the root: (√(x + 3)) = 5^2 becomes x + 3 = 25. Note that the exponent doesn't get applied to the terms on the left because the root and exponent simply cancel each other out.
  
  Finish solving x + 3 = 25 by subtracting 3 from both sides: x = 22. Plug the answer back into the original equation to check: √(22 + 3) = 5 becomes √25 = 5, which is correct.
explanation: The document provides an explanation of exponents and radicals, and it includes a step-by-step example of solving a radical equation. The text contains a question and an answer to the question.
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: Exponents represent how many times a number, called the base, should be multiplied by itself. For example, 6^3 is the same as 6 * 6 * 6. When solving an equation for a variable, isolating the variable requires eliminating terms by applying the term's opposite. For example, addition is the opposite of subtraction and multiplication is the opposite of division. The opposite of exponents are roots. The smallest root, or radical, is the square root, denoted by the symbol √.
  
  Solve a radical equation that contains a variable under a square root sign by eliminating the root using a squared exponent. Apply the exponent of 2 to both sides of the equation to keep it equivalent.
  
  • Exponents represent how many times a number, called the base, should be multiplied by itself.
  • The smallest root, or radical, is the square root, denoted by the symbol √.
  • Solve a radical equation that contains a variable under a square root sign by eliminating the root using a squared exponent.
  
  Solve the radical equation √(x + 3) = 5. Square both sides of the equation to eliminate the root: (√(x + 3)) = 5^2 becomes x + 3 = 25. Note that the exponent doesn't get applied to the terms on the left because the root and exponent simply cancel each other out.
  
  Finish solving x + 3 = 25 by subtracting 3 from both sides: x = 22. Plug the answer back into the original equation to check: √(22 + 3) = 5 becomes √25 = 5, which is correct.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document provides an explanation of exponents and radicals, and it includes a step-by-step example of solving a radical equation. The text contains a question and an answer to the question.
  
  Label: question-and-answer