How to represent irrational number on number line?

Understand irrational number on number line. Click on the Link to Watch the VIDEO explanation: 
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Representation Of Irrational Numbers On The Number Line 
We should now learn the method of representing root 2 and root 5. Take up one of the links. 
To represent root 2 on the number line. 
Solution: 
Draw a number line. 
Let OA = 1 unit. 
Draw a perpendicular at A. 
Mark AB = 1 unit. 
Join OB. 
Since angle OAB = 900, triangle OAB is right- angled at A. 
In the right-angled triangle OAB, 
OB square = OA square + AB square by pythagoras theorem. 
Therefore OB square = 2 
Therefore OB = root 2 
with O as centre and compass radius as OB, cut an arc to get point P on the number line. 
Then, the point P represents root 2 on the number line. 
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To represent root 5 on the number line. 
Solution: 
Draw a number line. 
Let OA = 2 units. 
Draw a perpendicular at A. 
Mark AB = 1 unit. 
Join OB. 
Since angle OAB = 900, triangle OAB is right- angled triangle. 
In the right-angled triangle OAB, 
OB square = OA square + AB square by pythagoras theorem. 
Therefore OB square = 5 
Therefore OB = root 5 
with O as centre and compass radius as OB, cut an arc to get point P on the number line. 
Then, the point P represents root 5 on the number line.