Represent geometrically the following number on the number line: √2.3

Solution:

We have to locate √2.3 on the number line.

To represent the number √2.3 graphically,

First mark the given distance 2.3 units on the given line, from a fixed point A such that

AB = 2.3 units.

Mark a new point C at a distance of 1 unit from B such that BC = 1 unit.

Now, mark the point O which is the midpoint of AC.

Draw a semicircle with radius OC and center O.

Next, draw a line perpendicular to AC passing through B and intersecting the semicircle at D.

Now, BD = √2.3 units

Draw an arc with radius BD and centre B.

The arc intersects the number line at E such that

BE = BD = √2.3 units

✦ Try This: Represent geometrically the following number on the number line: √7.8

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 1

NCERT Exemplar Class 9 Maths Exercise 1.3 Problem 6(iv)

Represent geometrically the following number on the number line: √2.3

Summary:

The geometrical representation of the number √2.3 on the number line is mentioned above

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