how can I find square root of 6 through number line

Asked by balujayanthy270 | 18th Jul, 2015, 10:18: PM

Expert Answer:

S t e p space 1 colon space D r a w space a space n u m b e r space l i n e. S t e p space 2 colon space M a r k space a space p o i n t space A space o n space i t S t e p space 3 colon space M a r k space B space s u c h space t h a t space A B equals 6 space u n i t s. S t e p space 4 colon space F r o m space t h e space p o i n t space B comma space m a r k space C space s u c h space t h a t space B C equals 1. S t e p space 5 colon space M a r k space a space p o i n t space O space i n space b e t w e e n space A space a n d space C space s u c h space t h a t space O A equals O C equals fraction numerator 6 plus 1 over denominator 2 end fraction equals 3.5 space u n i t s. S t e p space 6 colon space N o w space d r a w space a space c i r c l e 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 3.5 space u n i t s. S t e p space 7 colon space D r a w space a space l i n e space p e r p e n d i c u l a r space t o space A C space p a s sin g space t h r o u g h space B space a n d space i n t e r s e c t i n g space t h e space s e m i space c i r c l e space a t space D. S t e p space 8 colon space W i t h space B space a s space c e n t r e space a n d space B D space a s space r a d i u s space d r a w space a space c i r c l e space s u c h space t h a t space i t 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 E. S t e p space 9 colon space B E space r e p r e s e n t s space square root of 6 space end root space o n space t h e space n u m b e r space l i n e.   space space

Answered by Vimala Ramamurthy | 19th Jul, 2015, 12:15: PM