Question

How can I plot $\sqrt{9.3}$ on the number line?

Answer 1

Represent the given number on a number line

Given, $\sqrt{9.3}$

Steps for construction:

1) Draw a line segment $AB$of length$=9.3$ units on number line.

2) Extend the line by $1$ unit more such that $BC=1$ unit .

3) Find the midpoint of $AC$ and mark it as $O$.

4) Take $AO$ as radius, draw a semi-circle.

5) Draw a line $BD$ perpendicular to $AC$ and let it intersect the semicircle at point $D$.

6) Taking $B$ as center and $BD$ as radius, draw an arc $DE$ such that it intersects the number line at $E$.

Hence, $BE=\sqrt{9.3}$