Remember this problem?

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?

Consider the roots √100 to √109, how many of them produce Irrational Numbers?

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

Is there any relationship of these root (√101 to √109) to the roots (√1 to √9) of the original problem? Explain your thinking.

Is there another interval of 10 integers that when you take their square root, has a relationship similar to the original 9?

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