Question

how to represent square root 5.8 + 1 on a number line

Answer 1

1.Draw a line segment with length AB=5.8.
2.Increse the length of segment by 1cm and mark it as C.
3.Now with the help of a compass and from point B and radius more than half of AB draw arcs on both sides of the segment.
4.Now from point and with the same radius draw arcs cutting the previous drawn arcs.Join the two arcs and draw a perpendicular on segment at point O.
5.Now from point O and radius equal to AO draw a semi circle .Draw a perpendicular line from point B cutting the semi circle the length of the perpendicular will be √5.8