Show the number √7on the number line
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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.
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