Question

Represent 2squareroot and 3squareroot on numberline

Answer 1

Answer:

Step-by-step explanation:

Represent 2 square root on numberline

Hey mate. Pls refer to the above attachment.

• First draw a line.Then mark the points 1,2,3 and so on and also -1,- and so on.
• The by using Pythagoras theorem √1^2+√1^2 = √2.
• make a 90° angle.Then draw a line upwards. And then open your pencil at 1cm.
• Then mark an arc.
• Then make a right angle triangle starting from zero and join them.
• Then measure that drawn line and mark a behind 1.
• The write point p represents √2.

Represent 3square root on number line

First draw a number line having points (at least) [0,3]. If we denote the point 0 as “O” and point 1 as “A” then OA will be equal to 1 unit. Then at point A draw a perpendicular of length AB=1 unit ( equal to the distance from 0 to 1 in the number line i.e. OA). And join the points O and A, so that OAB is a right angled triangle. Then by pythagoras theorem,

OB^2=OA^2+AB^2

=> OB=sqrt (1^2+1^2)

=>OB = root2

Now, again draw a perpendicular at point B of length BC= 1 unit and join the points O and C. Again by pythagoras theorem we get OC = root 3. Then by compus taking radius =OC, draw an arc so that it cuts the number line at D. Then the distance OD will be the square root of 3.