We need to draw a line segment AB of 2 unit on the number line. Then draw a perpendicular line segment BC at B of 1 units. Then join the points C and A, to form a line segment AC. According to Pythagoras Theorem
AC2 = AB2 + BC2
AC2 = 22 + 12
AC2 = 4 + 1 = 5
AC = \( \sqrt 5\)
Then draw the arc ACD, to get the number \( \sqrt 5\) on the number line.
Answered by Shivani Kumari | 1 year ago