represent [tex]\sqrt{5} on number line
Share
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
Answer:
[tex]\sqrt{5}[/tex]
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,
[tex] = > OB²=OA²+AB²[/tex]
[tex] = > OB²=(2)²+(1)² = 5[/tex]
[tex] = > OB = \sqrt{5} [/tex]
Taking O as the centre and OB= √5 as radius draw an arc cutting real line at C. Clearly, OC=OB= √5
I hope it will help you please give thanks