how to locate root 3 on a number line?(spiral method)

Asked by Omkar | 27th Jul, 2015, 06:13: PM

Expert Answer:

S t e p 1 colon space D r a w space a space n u m b e r space l i n e space a n d space m a r k space a space p o i n t space O. S t e p space 2 colon space M a r k space a space p o i n t space A space s u c h space t h a t space O A equals 1 space u n i t. S t e p space 3 colon space D r a w space r i g h t space t r i a n g l e space O A B space s u c h space t h a t space A B equals 1 space u n i t. S t e p space 4 colon space B y space P y t h a g o r a s space T h e o r e m comma space O B equals square root of 1 squared plus 1 squared end root equals square root of 2 space u n i t s. space D r a w space a space l i n e space B C space p e r p e n d i c u l a r space t o space O B space space space space space space space space space space space space space s u c h space t h a t space B C equals 1. S t e p space 5 colon space J o i n space O C. space T h u s comma space O B C space i s space a space r i g h t space t r i a n g l e. space A g a i n space b y space P y t h a g o r a s space T h e o r e m comma space w e space h a v e comma space space space space space space space space space space space space space O C equals square root of open parentheses square root of 2 close parentheses squared plus 1 squared end root equals square root of 3 space u n i t s S t e p space 6 colon space W i t h space c e n t r e space a s space O space a n d space r a d i u s space O C space d r a w space a space c i r c l e space w h i c h space m e e t s space t h e space n u m b e r space l i n e space a t space t h e space p o i n t space E. space space space space space space space space space space space space space space O E equals square root of 3 space u n i t s. space T h u s comma space O E space r e p r e s e n t s space square root of 3 space o n space t h e space n u m b e r space l i n e.
 

Answered by Vimala Ramamurthy | 28th Jul, 2015, 11:14: AM