TO CONSTRUCT A SQUARE-ROOT SPIRAL:-

1. TAKE A PIECE OF PLYWOOD HAVING DIMENSIONS 30 cm multiply 30 cm.
2. DRAW A LINE SEGMENT AB OF LENGTH ONE UNIT BY TAKING 2cm = 1 UNIT.
3. CONSTRUCT A PERPENDICULAR BX AT THE LINE SEGMENT AB USING COMPASSES ( OR SET SQUARES ).
4. FROM BX, CUT-OFF BC = 1 UNIT AND JOIN AC.
5. USING RED COLOURED THREAD ( OF LENGHT EQUAL TO AC ) AND ADHESIVE, FIX THIS THREAD ALONG AC.
6. WITH AC AS BASE AND USING COMPASSES ( OR SET SQUARES ), DRAW CY PERPENDICULAR TO AC.
7. FROM CY, CUT-OFF CD = 1 UNIT AND JOIN AD.
8. FIX GREEN COLOURED THREAD ( OF LENGTH EQUAL TO AD) ALONG AD WITH ADHESIVE.
9. WITH AD AS BASE AND USING COMPASSES ( OR SET SQUARES ), DRAW DZ PERPENDICULAR TO AD.
10. FROM DZ, CUT-OFF DE = 1 UNIT AND JOIN AE.
11. FIX BLUE COLOURED THREAD ( OF LENGTH EQUAL TO AE ) WITH ADHESIVE

​NOW REPEAT THE ABOVE PROCESS FOR A SUFFICIENT NUMBER OF TIMES. THIS IS CALLED "A SQUARE ROOT SPIRAL"

OBSERVATION

ON ACTUAL MEASUREMENT, WE HAVE
AC = _________________, AD = ________________,AE = _______________,AF = ______________________,
AG = ___________________,
ROOT 2 = AC = ___________________________ ( APPROX )
ROOT 3 = AD = ________________________
ROOT 4 = AE = __________________
ROOT 5 = AF = __________________
____________________________
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