Question

Find the square roots of 100 by the method of repeated subtraction.

Answer 1

Square root of 100 by method of subtraction

Step I 100 - 1 = 99

Step II 99 - 3 = 96

Step III 96 - 5 = 91

Step IV 91 -7 = 84

Step V 84 - 9 = 75

Step VI 75 - 11 = 64

Step VII 64 - 13 = 51

Step VIII 51 - 15 = 36

Step IX 36 - 17 = 19

Step X 19 - 19 = 0

0 is obtained at the 10th step. Hence, 10 is the square root of 100.

Square root of 169 by method of subtraction

Step I 169 - 1 = 168

Step II 168 - 3 = 165

Step III 165 - 5 = 160

Step IV 160 - 7 = 153

Step V 153 - 9 = 144

Step VI 144 - 11 = 133

Step VII 133 - 13 = 120

Step VIII 120 - 15 = 105

Step IX 105 - 17 = 88

Step X 88 - 19 = 69

Step XI 69 - 21 = 48

Step XII 48 - 23 = 25

Step XIII 25 - 25 = 0

0 is obtained at the13th step. Hence, 13 is the square root of 169