Question

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 OP₁ of unit length. Draw a line segment P₁P₂ perpendicular to OP₁ of unit length (see Fig. 1.9). Now draw a line segment P₂P₃ perpendicular to OP₂. Then draw a line segment P₃P₄ perpendicular to OP₃. Continuing in this manner, you can get the line segment Pₙ₋₁Pₙ by drawing a line segment of unit length perpendicular to OPₙ₋₁. In this manner, you will have created the points P₂, P₃,...., Pₙ,... ., and joined them to create a beautiful spiral depicting √2, √3, √4, ...

Represent √9.3 on the number line.

Locate √13 on the number line.