show the √5 on Number Line and all steps plz reply fast
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√5 can be represent as given in pics.
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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=1unitUsing pythagoras theorem, we have,OB2=OA2+AB2OB2=(2)2+12=5OB=5Taking O as the centre and OB=5 as radius draw an arc cutting real line at C. Clearly, OC=OB=5.Hence, C represents root5 on the number line.
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