# Represent geometrically the following number on the number line: √5.6

**Solution:**

We have to locate √5.6 on the number line.

To represent the number √5.6 graphically,

First mark the given distance 5.6 units on the given line, from a fixed point A such that

AB = 5.6 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 = √5.6 units

Draw an arc with radius BD and centre B.

The arc intersects the number line at E such that

BE = BD = √5.6 units

**✦ Try This: **Represent geometrically the following number on the number line: √7.6

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

**NCERT Exemplar Class 9 Maths Exercise 1.3 Problem 6(ii)**

## Represent geometrically the following number on the number line: √5.6

**Summary:**

The geometrical representation of the number √5.6 on the number line is mentioned above

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