Question

reprsent
$\sqrt{6}$
on no. line
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Answer 1

Answer:

Step 1: First of all we have to mark a distance of 6 units on the number line from a fixed point as mentioned in the solution hint, which we have already taken as A.

Hence, the length of AB = 6 units.

Step 2: Now, form the point B we have to take a distance of 1 unit as mentioned in the solution hint and then we will obtain a new point which is point C we can also understand it with the help of the diagram, as drawn below:

Step 3: Now, according to the solution hint we have to determine the midpoint of AC and we have to mark that point as the origin O. Hence,

Step 4: Now, we have to draw a semicircle with centre O and radius OC we can also understand it with the diagram as given below:

Step 5: Now, we have to draw a line perpendicular to line AC passing through B and intersecting the semicircle at point D.

Hence, BD= 6–√ we can also understand the point 6–√ on the number line with the help of the diagram as given below:

Note: To obtain the required number line it is necessary to mark the second point which we have taken 6 units and after that we have to mark a new point at a distance of 1 unit and we will obtain another point.