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.

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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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 ?

You are getting into follow up questions I had in mind.