Locate and on the number line
Hint.
Solution.
Step I- Draw number line shown in the figure.
Let the point O represent 0 (zero) and point A represent 2 units from O.
Step II- Draw perpendicular AX from A on the number line and cut off arc AB = 1 unit
We have OA = 2 units and AB = 1 unit
Using Pythagoras theorem, we have.
OB2 = OA2 + AB2
OB2 = (2)2 + (1)2 = 5
OB =
Taking O as the centre and OB = as radius draw an arc cutting the line at C.
Clearly, OC = OB = .
Hence, C represents on the number line.
Similarly for and we can plot the points as follows: