Question

In finding square root of 841 through repeated subtraction method number of steps will be

Answer 1

Finding the $\sqrt{841}$ through repeated subtraction

1. 841-1=840

2. 840 -3=837

3. 837 -5 = 832

4. 832 - 7=825

5. 825 - 9 =816

6. 816-11=805

7. 805 -13= 792

8. 792 -15=777

9. 777-17=760

10. 760-19=741

11. 741-21=720

12. 720-23=697

13. 697-25=672

14. 672-27=645

15. 645-29=616

16. 616-31=585

17. 585 -33=552

18. 552-35=517

19. 517-37=480

20. 480-39=441

21.441-41=400

22. 400-43=357

23. 357-45=312

24. 312 -47=265

25. 265-49=216

26. 216-51=165

27. 165-53=112

28. 112-55=57

29. 57-57=0

Total number of steps=29

as you can find directly also i.e$\sqrt{841}=29$

therefore there will be 29 steps for finding the square root of 841.