show how rude 5 can be represented on the number line
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Take a line segment AB = 2 units (consider 1 unit = 2 cm) on x-axis. Draw a perpendicular on B and construct a line BC = 1 unit length. Join AC which will be √5 (Pythagoras theorem). Take A as center, and AC as radius draw an which cuts the x-axis at point E
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Step-by-step explanation:
Construct a unit circle (radius = 1) centered at 2 on the number line, and a line perpendicular to the number line passing through 2. Construct the segment from 0 to one of the points where the perpendicular intersects the circle. This segment has length sqrt5. Using this segment as a radius, construct a circle with center at 0. The second circle will intersect the number line at sqrt5
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