Question

represent [tex]\sqrt{5} on number line

Answer 1

Answer:

$\sqrt{5}$

Draw number line as shown in the figure.

1.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

We have OA=2 units and AB=1unit

Using pythagoras theorem, we have,

$= > OB²=OA²+AB²$

$= > OB²=(2)²+(1)² = 5$

$= > OB = \sqrt{5}$

Taking O as the centre and OB= √5 as radius draw an arc cutting real line at C. Clearly, OC=OB= √5

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