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Draw a line segment AB of length 7.5 units

Extend the line 1 unit more such that BC = 1 units

Find the midpoint of AC

Draw semicircle with center 0 and radius 0C

Draw a line BD perpendicular to AB, intersecting the semicircle at point D Here BD = √7.5 to represent it in number line draw a are DE such that BE= BD

Here BE is our required line

In figure AB = 7.5 and BE = √7.5