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प्रश्न
Represent the following irrational number on the number line
`sqrt(6.5)`
उत्तर
Steps of construction:
1. Draw a line and mark a point A and B such that AB = 6.5 cm.
2. Mark a point C on this line such that BC = 1 cm.
3. Find the midpoint of AC by drawing perpendicular bisector of AC and let it be “O”.
4. With O as centre and OC = OA as radius draw a semicircle.
5. Draw a line BD, which is perpendicular to AB at B.
6. Now BD = `sqrt(6.5)`, which can be marked in the number line as the value of BE = BD = `sqrt(6.5)`
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