Скачать или смотреть REPRESENT SQUARE ROOT 9.3 ON NUMBER LINE || GEOMETRICAL METHOD ||

In this video we learn how to represent square root of any given rational number geometrically.

We have taken the example of square root 9.3.

The following are the necessary steps-
1) First of all to draw square root x, make a base line AB of length x units.
2) Then extend this line through B by 1 units and mark the point as C.
3) Find the mid point of AC and mark it as D, and taking this point as center and AC as diameter, draw a semi circle.
4) Draw a line perpendicular to AC through B, cutting the circle at point E.
5) This BE is our required length ( square root x ) units,
6) We can show it on the number line by considering B as origin and extending line AC through C and then extrapolating the point E on the number line.

It is to be noted that root 9.3 does not mean root 9.3 centimeters. So we can scale our diagram up or down to represent the value clearly on our copy. For this it is not necessary to do markings on number line at a gap of 1cm each, but whatever gap we take between our markings to call it 1 unit in our diagram, it must always be same throughout the number line.



In the next video we will see the proof of this method. We will take another example, square root 3.5 and also write the construction steps for the procedure.



  #HAPPY_LEARNING