Asked by Ebun
Using nonperfect square method,find the square root of 418 correct to two decimal places, showing workings.
Answers
Answered by
tchrwill
Newton's method of square root estimation often leads directly to the minimal solution.
1--Make an estimate of the square root of N = n.
2--Then, calculate n1 = [N/n + n]/2
3--For further accuracy, calculate n2 = [N/n1 + n1]/2
Example: Estimate the square root of 73.
n1 = [73/8 + 8]/2 = 8.5625
n2 = [73/8.5625 + 8.5625]/2 = 8.54402
The actural square root of 73 is 8.544003745.
The method gives a reasonably close estimate in two calculations.
1--Make an estimate of the square root of N = n.
2--Then, calculate n1 = [N/n + n]/2
3--For further accuracy, calculate n2 = [N/n1 + n1]/2
Example: Estimate the square root of 73.
n1 = [73/8 + 8]/2 = 8.5625
n2 = [73/8.5625 + 8.5625]/2 = 8.54402
The actural square root of 73 is 8.544003745.
The method gives a reasonably close estimate in two calculations.
Answered by
dimple
squar root of 2.5