how to represent square root of 11
2). how to represent square root of 13

Asked by Sunny | 15th May, 2017, 11:44: AM

Expert Answer:

begin mathsize 16px style Steps space of space Construction
left parenthesis 1 right parenthesis space space Mark space the space distance space 11 space units space from space straight a space fixed space point space straight O space that space represents space 0 space on space the space number space line space space
left parenthesis 2 right parenthesis space space Mark space straight a space point space straight P space such space that space OP space equals space 11 space units. space space
left parenthesis 3 right parenthesis space space From space straight P comma space mark space straight a space distance space of space 1 space unit space and space mark space this space point space as space straight Q. space
left parenthesis 4 right parenthesis space space Find space the space midpoint space of space OQ space and space name space it space as space straight R. space space
left parenthesis 5 right parenthesis space space Taking space QR space as space the space radius comma space draw space straight a space semi space circle. space space
left parenthesis 6 right parenthesis space space Draw space straight a space line space perpendicular space to space OQ space passing space through space straight P space and space intersecting space the space semi space circle space at space straight S. space
left parenthesis 7 right parenthesis space space Draw space an space arc space with space Center space straight O space and space radius space PS comma space which space intersects space the space number space line space in space straight T. space space
left parenthesis 8 right parenthesis space space Then comma space straight T space represents space square root of 11 end style
 

Answered by Rashmi Khot | 16th May, 2017, 10:25: AM