how to represent √2 √3 √5 √7 on a single number line with steps of construction
Answers
Step-by-step explanation:
I'm assuming that you are using a number line with scale 1 number = 1 cm.
Root 2:
1) Draw a perpendicular line of 1cm at the 1 centimeter mark of the number line.
2) Join the end of that line and 0
3) Take your compass, place the pointed end at 0 with length equal to the line drawn in the last step and draw an arc till you cut the number line.
Root 3:
1) Draw a perpendicular line of 1cm at the root 2 point you drew earlier.
2) Join 0 and the end of that line.
3) Take your compass, place the pointed end at 0 with length equal to the line drawn in the last step and draw an arc till you cut the number line.
Root 5:
1) Draw a perpendicular line of 1cm at the 2 centimeter mark of the number line.
2) Join 0 and the end of that line.
3) Take your compass, place the pointed end at 0 with length equal to the line drawn in the last step and draw an arc till you cut the number line.
Root 7:
1) First you need to draw root 6.
2) Draw a perpendicular of 1cm at root 5 mark drawn earlier.
3) Join 0 and the end of that line.
4) Take your compass, place the pointed end at 0 with length equal to the line drawn in the last step and draw an arc till you cut the number line.
5) Now draw a perpendicular of 1cm at root 6 mark you drew just now.
6) Join 0 and the and of that line.
7) Take your compass, place the pointed end at 0 with length equal to the line drawn in the last step and draw an arc till you cut the number line.
Aaaand you're done!