Irrational Numbers on the Number Line

Consider the roots of the first 9 Natural Numbers (√1 to √9), how many of them produce Irrational Numbers?

List them.  Graph their approximate location on a number line.

number-line-600x271

Explain how you determined where to place them on the graph.

 

Is √10 Rational or Irrational?  Explain how you know.  Where on the number line would you graph it?

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2 thoughts on “Irrational Numbers on the Number Line

  1. Some more :

    Is √36 irrational ?
    rational + rational = rational true or false ?
    irrational + irrational = irrational true or false ?
    rational x rational = rational true or false ?
    irrational x irrational = irrational true or false ?
    (√3 – √2) squared rational or irrational ?
    (√3 – √2)(√3 + √2) rational or irrational ?

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