Show √2,√3,√4,√5,√6,√7 on the same number line
Answers
Presentation of 5 on number line:
We write 5 as the sum of the square of two natural numbers:
5=1+4=12+22
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, Ccorresponds 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=12+32
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, Ccorresponds 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=12+42
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, Ccorresponds to 17.