Understand square root of 5 by Graphical Method. Click the link to Watch the VIDEO explanation: Watch Video
Now lets find the square root of 5 by Graphical Method
Draw the graph of y = x2 and hence find the square root of 5.
Take the scale 1 cm = 1 unit for the equation y = x2 .
The x and y coordinates for points A are (0,0) for points B are (1,1) for points C are (2,4) for points D are (3,9) for points E are (-1,1) for points F are (-2,4) for points G are (-3,9)
Now join all the plotted points and what we get is Parabola.
For each value of x there corresponds a value of y on the graph which is related by x = root y.
If y = 5, then x = root 5.
Plot the point (0,5) on the y-axis and draw a line parallel to x-axis through this point.
y coordinate of every point on this point on this line is 5.
Therefore, this line y = 5 intersects y = x2 at P and Q.
Now draw PM and QN perpendicular to x-axis.
Measure the lengths of OM and On.
It will be plus or minus 2.3 (approximately).
From the graph root 5 is equal to 2.3 (approximately).
Now lets find the square root of 5 by Graphical Method
Draw the graph of y = x2 and hence find the square root of 5.
Take the scale 1 cm = 1 unit for the equation y = x2 .
The x and y coordinates for points A are (0,0) for points B are (1,1) for points C are (2,4) for points D are (3,9) for points E are (-1,1) for points F are (-2,4) for points G are (-3,9)
Now join all the plotted points and what we get is Parabola.
For each value of x there corresponds a value of y on the graph which is related by x = root y.
If y = 5, then x = root 5.
Plot the point (0,5) on the y-axis and draw a line parallel to x-axis through this point.
y coordinate of every point on this point on this line is 5.
Therefore, this line y = 5 intersects y = x2 at P and Q.
Now draw PM and QN perpendicular to x-axis.
Measure the lengths of OM and On.
It will be plus or minus 2.3 (approximately).
From the graph root 5 is equal to 2.3 (approximately).
No comments:
Post a Comment