Question

Represent √8.5 in on the number line

Answer 1

I hope It may help you

Answer 2

$\underline\mathfrak\pink{Step\:by\:step\:explanation\:\::-}$

Mark the distance 8.5 units from a fixed point A on a given line to obtain point B such that AB = 8 units. From B, mark a distance of 1 unit and mark the new point as C. Find the mid - point of AC and mark the point O. Draw a semi-circle with centre O and radius OC.

__________________________

Draw a line perpendicular to AC passing through B and intersecting the semi-circle at D. Then, BD = √8.5 units. 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 = √8.5 units, which intersects the number line in E.

Then, E represents √8.5 units on the number line.