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.
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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.