Question

represent √7.5 on number line

Answer 1

1. Draw a line segment AB such that it is 7.5 cm long.
2. Now extend the line to a point C so that B is a point on the line segment AC and BC = 1 cm.
3. Find the midpoint of AC and name it O. Now, with O as the centre and radius equal to OA, draw a semi circle with AC as the diameter.
4. At point B, make an angle of 90 degrees such that the line intersects the semi-circle just drawn at a point D. Join DC.
5. With BD as the radius and B as the centre, draw an arc to cut the extended line segment AC at E. 

BE is the required line that is under root 7.5 units long.

Refer to the attached image

Answer 2

Answer:

no line

Step-by-step explanation:

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

at last be is required line