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8√3 को संख्या रेखा पर लिखिये।

Mathematics

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Answer

9.3\sqrt{9.3}

Step-by-step solution

7 steps

To represent 9.3\sqrt{9.3} on the number line, follow these steps:

  1. Draw a line segment AB of length 9.3 units.

  2. Extend the line segment AB to C such that BC is 1 unit.

    Now, the total length of AC is 9.3+1=10.39.3 + 1 = 10.3 units.

  3. Find the midpoint of AC.

    Let this midpoint be O. The length AO = OC = 10.32=5.15\frac{10.3}{2} = 5.15 units.

  4. With O as the center and OC (or AO) as the radius, draw a semicircle.

  5. Draw a line perpendicular to AC passing through point B.

    This perpendicular line will intersect the semicircle at a point, let's call it D.

  6. The length of the line segment BD represents 9.3\sqrt{9.3}.

  7. With B as the center and BD as the radius, draw an arc that intersects the extended line segment AC at a point, let's call it E.

    Point E on the number line represents the value of 9.3\sqrt{9.3}.

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