Question

1. Represent √2, √3, √5 √7 on number lines with step of
construction,

please answer this question.​

Answer 1

Answer:

Step-by-step explanation:

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!