# How to represent square root of 5 on number line

2
by Deleted account

2015-03-12T18:22:09+05:30
First u draw a number line

then draw a line between 0 and 2( 2 unit)
then draw 3 perpendicular line from the point 2
then take 3 cm on compuss and draw a   arch    to the perpendicular line
joint this line
u will get a right-angled triangle
then
3²-2²=5
so the perpendicular line=√5
again take ur compass and draw it on ur number line.it will be √5
see attached file

AC looks like 3 units...
but that is not the standard procedure taught in cbse....
thanks
you should take AC as 1 unit and then AB will be root 5 unit..that is easy to understand too
2015-03-12T20:08:07+05:30
1] Draw number line and take a point O representing O on it.
Take a point A on the number line such that OA = 1(units)

2] Take a point B on the number line such that AB = 2(units)

3] With centre B draw a right angled triangle ABC(right angled at A) such that AB =2 and BC =1

4] With A as centre and radius AC draw an arch that cuts the number line at P

5] Then, AB = AP = √5
6] OC =OA+AP=1+√5.