Question

show how √5 can be represented on the number line​

Answer 1

find root 5's decimal value and then represent it on the number line

pls mark as brainliedt

Answer 2

$\huge\bold\green {Answer!}$

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,

${ob}^{2} = {oa}^{2} + {ab}^{2}$

${ob}^{2} = {2}^{2} + {1}^{2} = 5$

$ob = \sqrt{5}$

Taking O as the centre and OB= √5

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

Hence, C represents √5 on the number line.

number line:-in the attachment

$\huge\bold\purple {hope \ it \ helps!}$