Represent $square root of 4.7 end root$ on the number line.

Solution

Mark the distance 4.7 units from a fixed point A on a given line to obtain a point B such that AB = 4.7 units. From B, mark a distance of 1 unit and mark the new point as C. Find the mid-point of AC and mark that point as O. Draw a semicircle with centre O and radius OC. Draw a line perpendicular to AC passing through B and intersecting the semicircle at D. Then,

BD space equals space square root of 4.7 end root.

Now, let us treat the line BC as the number line, with B as zero, C as 1, and so on. Draw an arc with centre B and radius BD, which intersects the number line in E.

Then, E represents $square root of 4.7 end root.$

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Polynomials

Represent $square root of 4.7 end root$ on the number line.

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