Question

$represent \sqrt{5}on \: number \: line$
please give photo of number line its urgent

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Answer 1

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,

${ob}^{2} = {oa}^{2} + {ab}^{2} \\ = {(2)}^{2} + {1}^{2} \\ = 4 + 1 \: \: \: \: \: \: \: \: \: \\ {ob}^{2} = 5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Taking O as the centre and OB= 5

as radius draw an arc cutting real line at C. Clearly, OC=OB= 5 .

Hence, C represents 5 on the number line.