At the point 1, draw a perpendicular to the number line. Mark of a length of 1 unit on this line: call that point A.
From the 0 on the number line, using a pair of compasses, measure the arc OA and use that length to mark the number line at sqrt(2).
Rationale:
You have a right angled triangle, with its right angle at the point 1. The base is 1 unit and the vertical height is 1 unit. So, by Pythagoras, the line from 0 to A is sqrt(2) units.
At the point 1, draw a perpendicular to the number line. Mark of a length of 1 unit on this line: call that point A.
From the 0 on the number line, using a pair of compasses, measure the arc OA and use that length to mark the number line at sqrt(2).
Rationale:
You have a right angled triangle, with its right angle at the point 1. The base is 1 unit and the vertical height is 1 unit. So, by Pythagoras, the line from 0 to A is sqrt(2) units.
At the point 1, draw a perpendicular to the number line. Mark of a length of 1 unit on this line: call that point A.
From the 0 on the number line, using a pair of compasses, measure the arc OA and use that length to mark the number line at sqrt(2).
Rationale:
You have a right angled triangle, with its right angle at the point 1. The base is 1 unit and the vertical height is 1 unit. So, by Pythagoras, the line from 0 to A is sqrt(2) units.
At the point 1, draw a perpendicular to the number line. Mark of a length of 1 unit on this line: call that point A.
From the 0 on the number line, using a pair of compasses, measure the arc OA and use that length to mark the number line at sqrt(2).
Rationale:
You have a right angled triangle, with its right angle at the point 1. The base is 1 unit and the vertical height is 1 unit. So, by Pythagoras, the line from 0 to A is sqrt(2) units.
At the point 1, draw a perpendicular to the number line. Mark of a length of 1 unit on this line: call that point A.
From the 0 on the number line, using a pair of compasses, measure the arc OA and use that length to mark the number line at sqrt(2).
Rationale:
You have a right angled triangle, with its right angle at the point 1. The base is 1 unit and the vertical height is 1 unit. So, by Pythagoras, the line from 0 to A is sqrt(2) units.
It'll be between 1 and 2
At the number 2, draw a vertical line (perpendicular to the number line) and mark a distance of 1 unit on this line. Call this point X The distance from 0 to X is sqrt(5). Put a compass with its point at 0 and the pencil at X, and then draw an arc to cut the number line. That will be sqrt(5) on the number line.
Hope that you have understood how to represent root 5 on the number line. For reference go figure given below the first video in this lesion. Now, draw CB ⊥ AB and CB = 1 unit (as shown in first video). Now, join OC. The length of OC is root 6. At C, DC ⊥ AB. Join OD. Taking O as centre and OD as radius draw an arc that intersects the number line Q .Here, OD = OQ = root 7.Now, Q is the point on the number line that represents the number root 7.
What numbers are between square root of 14 on the number line
3 is the square root of 9. 9 is a square number. 9 is the square root of 81. 81 is a square number.
It'll be between 1 and 2
By root, I think you mean square root. The square root of 2 is approx. 1.414. The square root of 9 = 3, so this goes exactly at 3 on the number line. Square root 2 will be less than 1/2 way between 1 and 2 on the number line.
Draw a square which is 1 unit by 1 unit in size. By Pythagoras, the diagonal of the square will be sqrt(2) units in length.
Oh, what a happy little question! To represent the square root of 3 on the number line, you simply find where it falls between whole numbers. Since the square root of 3 is between 1 and 2, you can place it around 1.7 on the number line with a little tick mark and a smile. Remember, there are no mistakes, just happy little accidents in math!
Eight to the square root of two is 18.930500992570284227768534002147.
At the number 2, draw a vertical line (perpendicular to the number line) and mark a distance of 1 unit on this line. Call this point X The distance from 0 to X is sqrt(5). Put a compass with its point at 0 and the pencil at X, and then draw an arc to cut the number line. That will be sqrt(5) on the number line.
friends,root 10 is according to our pythagores thoream.root 10=square of 3 and square of 1 can be represented on a number line.
This can not be done. Every non-negative number on the number line is the square root of its square. You would have to mark every number from zero on.
You don't
The square root of 66 is a little bit greater than 8. So, plotted on a number line, it would be just to the right of the number 8.
Hope that you have understood how to represent root 5 on the number line. For reference go figure given below the first video in this lesion. Now, draw CB ⊥ AB and CB = 1 unit (as shown in first video). Now, join OC. The length of OC is root 6. At C, DC ⊥ AB. Join OD. Taking O as centre and OD as radius draw an arc that intersects the number line Q .Here, OD = OQ = root 7.Now, Q is the point on the number line that represents the number root 7.
Irrational numbers can be represented on a number line. For example, to graph the square root of two, draw a line of 1 unit (1 unit = the distance between the points of two whole numbers) from -1 which is perpendicular to the number line. Then, using a compass, place the pointy end on 0, the pencil tip on the end of the drawn line that is not touching the number line and drawing an arc so that it hits the number line on the positive side. Draw a point at where the arc meets the number line. That point is the square root of 2. This works because of Pythagoras theorem (a2+b2=c2, 12+12=22).