Find the square roots of 100 and 169 by the method of repeated subtraction.

100 100 – 1 = 99 99 – 3 = 96 96 – 5 = 91 91 – 7 = 84 84 – 9 = 75 75 – 11 = 64 64 – 13 = 51 51 – 15 = 36 36 – 17 = 19 19 – 19 = 0 Here, we have performed subtraction ten times. ∴ √100 = 10 169 169 – 1 = 168 168 – 3 = 165 165 – 5 = 160 160 – 7 = 153 153 – 9 = 144 144 – 11 = 133 133 – 13 = 120 120 – 15 = 105 105 – 17 = 88 88 – 19 = 69 69 – 21 = 48 48 – 23 = 25 25 – 25 = 0 Here, we have performed subtraction thirteen times. ∴ √169 = 13