Question

represent √5 on the number line​

Answer 1

Answer:

Hence , point P is ^5

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Hello user,

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,

$\tt \red {OB^{2} = OA^{2} + AB^{2} }$

$\tt \red{OB^{2} = (1 {)}^{2} + {1}^{2} = 5}$

$\tt \red{OB = \sqrt{5} }$

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

$\tt \ \: Clearly, OC=OB= \sqrt{5}.$

$\tt \blue{Hence, C \: represents  \sqrt{5}  on \: the \: number \: line.}$