Step-by-step explanation:

Presentation of  

5

​

 on number LINE:

We write 5 as the sum of the square of two NATURAL numbers:

5=1+4=1

2

+2

2

On the number line, take OA=2 units.

Draw BA=1 unit, perpendicular to OA. Join OB.

By Pythagoras theorem, OB=

5

​

Using a compass with centre O and RADIUS OB, draw an arc which intersects the number line at the point C. Then, C corresponds to  

5

​

.

Presentation of  

10

​

 on the number line:

We write 10 as the sun of the square of two natural numbers:

10=1+9=1

2

+3

2

On the number line, TAKEN OA=3 units.

Draw BA=1 unit, perpendicular to OA, Join OB.

By Phythagoras theorem, OB=

10

​

Using a compass with centre O and radius OB, draw an arc which intersects the number line at the point C. Then, C corresponds to  

10

​

.

Presentation of  

17

​

 on the number line:

We write 17 as the sum of the square of two natural numbers.

17=1+16=1

2

+4

2

On the number line, take OA=4 units.

Draw BA=1 units, perpendicular to OA. Join OB.

By Pythagoras theorem, OB=

17

​

Using a compass with centre O and radius OB, draw an arc which intersects the number line at the point C. Then, C corresponds to  

17

​

.