Represent 5/√7 on number line With step by step.
Answers
Step-by-step explanation:
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=
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.
solution
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Answer:
First, we have to draw √5 on the number line.
1. Draw a number line and mark 0, 1, 2, 3, ....etc.
2. Mark 0 as point O and 2 as B.
3. Now from B, draw a perpendicular AB of length 1 unit.
4. Join OA. Take OA as radius and draw an arc which cuts the number line at P.
The point P represents √5 on the number line.
5. Again From A, draw a perpendicular AC of length 1 unit.
6. Join OC. Take OC as radius and draw an arc which cuts the number line at Q.
The point Q represents √6 on the number line.
7. Again From C, draw a perpendicular CD of length 1 unit.
8. Join OD. Take OD as radius and draw an arc which cuts the number line at R.
The point R represents √7 on the number line.
The figure is given below: