Representation of Irrational Numbers on the Number Line
Represent √...
Question
Represent √5 on the number line.
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Solution
Draw number line as shown in the figure. Let the point O represent 0(zero) and point A represents 2. Draw perpendicular AX at A on the number line and cut-off arc AB=1unit.
We have OA=2 units and AB=1unit
Using pythagoras theorem, we have,
OB2=OA2+AB2
OB2=(2)2+12=5
OB=√5
Taking O as the centre and OB=√5 as radius draw an arc cutting real line at C. Clearly, OC=OB=√5.