activity
construct a spiral root
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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.
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Theory
1. A number line is a imaginary line whose each point represents a real number.
2. The numbers which cannot be expressed in the form p/q where q ≠ 0 and both p
and q are integers, are called irrational numbers, e.g. √3, π, etc.
3. According to Pythagoras theorem, in a right angled triangle, the square of the
hypotenuse is equal to the sum of the squares of other two sides containing right
angle. ΔABC is a right angled triangle having right angle at B. (see Fig. 1.1)
Therefore, AC² = AB² +BC²
where, AC = hypotenuse, AB = perpendicular and BC = base
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