Question

how many steps are included in the subtraction method of square root of number 841

Answer 1

# Answer = 29 steps.

# Repeated substraction method-
A square number is the sum of successive odd numbers starting from 1. Therefore, you can find square root of a number by repeatedly subtracting successive odd numbers starting from 1 from the given square number, till you get zero.

For finding square root of number 841,

841-1=840 ...1

840-3=837 ...2

837-5=832 ...3

832-7=825 ...4

825-9=816 ...5

816-11=805 ...6

805-13=792 ...7

792-15=777 ...8

777-17=760 ...9

760-19=741 ...10

741-21=720 ...11

720-23=697 ...12

697-25=672 ...13

672-27=645 ...14

645-29=616 ...15

616-31=585 ...16

585-33=552 ...17

552-35=517 ...18

517-37=480 ...19

480-39=441 ...20

441-41=400 ...21

400-43=357 ...22

357-45=312 ...23

312-47=265 ...24

265-49=216 ...25

216-51=165 ...26

165-53=112 ...27

112-55=57 ...28

57-57=0 ...29

Hence 29 steps are required for finding square root of 841.