Classroom activity(Constructing the 'square root spiral'): Take a large sheet of paper and construct the 'square root spiral' in the following fashion. Start with a point O and draw a line segment $O{P}_1$ of unit length. Draw a line segment $P_1{P}_2$ perpendicular to $O{P}_1$ of unit length. Now draw a line segment $P_2{P}_3$ perpendicular to $O{P}_2$. Then draw a line segment $P_3{P}_4$ perpendicular to $O{P}_3$. Continuing in this manner, you can get the line segment $P_{n-1}{P}_n$ by drawing a line segment of unit length perpendicular to $O{P}_{n-1}$. In this manner, you will have created the points $P_2,P_3,.......,P_n,.....,$ and joined them to create a beautiful spiral depicting $\sqrt{2},\sqrt{3},\sqrt{4},.......$

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