text: ### Square Roots
  
  The square root of a number is the number that, when squared (multiplied by itself), is equal to the given number. For example, the square root of 16, denoted 161/2 or , is 4, because 42 = 4×4 = 16. The square root of 121, denoted , is 11, because 112 = 121. = 5/3, because (5/3)2 = 25/9. = 9, because 92 = 81. To take the square root of a fraction, take the square root of the numerator and the square root of the denominator. The square root of a number is always positive.
  
  All perfect squares have square roots that are whole numbers. All fractions that have a perfect square in both numerator and denominator have square roots that are rational numbers. For example, = 9/7. All other positive numbers have squares that are non-terminating, non- repeating decimals, or irrational numbers. For example, = 1.41421356... and = 2.19503572....
  
  ### Square Roots of Negative Numbers
  
  Since a positive number multiplied by itself (a positive number) is always positive, and a negative number multiplied by itself (a negative number) is always positive, a number squared is always positive. Therefore, we cannot take the square root of a negative number.
  
  Taking a square root is almost the inverse operation of taking a square. Squaring a positive number and then taking the square root of the result does not change the number: = = 6. However, squaring a negative number and then taking the square root of the result is equivalent to taking the opposite of the negative number: = = 7. Thus, we conclude that squaring any number and then taking the square root of the result is equivalent to taking the absolute value of the given number. For example, = | 6| = 6, and = | - 7| = 7.
  
  Taking the square root first and then squaring the result yields a slightly different case. When we take the square root of a positive number and then square the result, the number does not change: ()2 = 112 = 121. However, we cannot take the square root of a negative number and then square the result, for the simple reason that it is impossible to take the square root of a negative number.
  
  ### Cube Roots and Higher Order Roots
  
  A cube root is a number that, when cubed, is equal to the given number. It is denoted with an exponent of "1/3". For example, the cube root of 27 is 271/3 = 3. The cube root of 125/343 is (125/343)1/3 = (1251/3)/(3431/3) = 25/7.
explanation: The document provides an explanation of square roots, including examples and properties, and also touches on cube roots and higher-order roots. It does not contain a specific question or a question-and-answer pair.
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: ### Square Roots
  
  The square root of a number is the number that, when squared (multiplied by itself), is equal to the given number. For example, the square root of 16, denoted 161/2 or , is 4, because 42 = 4×4 = 16. The square root of 121, denoted , is 11, because 112 = 121. = 5/3, because (5/3)2 = 25/9. = 9, because 92 = 81. To take the square root of a fraction, take the square root of the numerator and the square root of the denominator. The square root of a number is always positive.
  
  All perfect squares have square roots that are whole numbers. All fractions that have a perfect square in both numerator and denominator have square roots that are rational numbers. For example, = 9/7. All other positive numbers have squares that are non-terminating, non- repeating decimals, or irrational numbers. For example, = 1.41421356... and = 2.19503572....
  
  ### Square Roots of Negative Numbers
  
  Since a positive number multiplied by itself (a positive number) is always positive, and a negative number multiplied by itself (a negative number) is always positive, a number squared is always positive. Therefore, we cannot take the square root of a negative number.
  
  Taking a square root is almost the inverse operation of taking a square. Squaring a positive number and then taking the square root of the result does not change the number: = = 6. However, squaring a negative number and then taking the square root of the result is equivalent to taking the opposite of the negative number: = = 7. Thus, we conclude that squaring any number and then taking the square root of the result is equivalent to taking the absolute value of the given number. For example, = | 6| = 6, and = | - 7| = 7.
  
  Taking the square root first and then squaring the result yields a slightly different case. When we take the square root of a positive number and then square the result, the number does not change: ()2 = 112 = 121. However, we cannot take the square root of a negative number and then square the result, for the simple reason that it is impossible to take the square root of a negative number.
  
  ### Cube Roots and Higher Order Roots
  
  A cube root is a number that, when cubed, is equal to the given number. It is denoted with an exponent of "1/3". For example, the cube root of 27 is 271/3 = 3. The cube root of 125/343 is (125/343)1/3 = (1251/3)/(3431/3) = 25/7.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document provides an explanation of square roots, including examples and properties, and also touches on cube roots and higher-order roots. It does not contain a specific question or a question-and-answer pair.
  
  Label: no-question