Multiplication of lines of irrational length Suppose you are given two lines, each has length of an irrational number. How would one, using a straight-edge and compass, draw a line whose length is the product of the two given irrational numbers? Edit: Yes, you are also given a unit line. But note that the irrational numbers are not necessarily square roots.

**Hint** : Use similar triangles and the identity $\dfrac{rs}{r} = \dfrac{s}{1}$. You have 3 of the terms and want the 4th.