Math, asked by shinikaviraj, 2 months ago


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

Answers

Answered by nikhilkumarsaha27
0

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.

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