## Hidden Irrationals

You may print this page and shade in your answers.

On the dot paper below, the horizontal and vertical distance from one dot to the other is 1 unit. Draw line segments with the following lengths and label with their lengths.You may explore on an interactive geoboard here. (A new window will open so that you can go back and forth from the two pages if you like.)

URL http://math.rice.edu/~lanius/Geom/irrat.html

1.square root 22.square root 53.square root 84.square root 185.square root 206.square root 267.square root 328.square root 349.square root 40

10.Choose 3 other lengths of irrational numbers that you can draw by connecting dots. Draw and label.

11.Give 3 other irrational-number lengths that you candraw connecting dot to dot.not

12.Explain what has to be true for you to be able to draw the number lengths in this way.

13.Are all the diagonals irrational? Convince me with an argument or a counter-example.

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Email any comments to lanius@math.rice.edu## Copyright 1997-2008 Cynthia Lanius