Ex 5.3, 3 - Chapter 5 Class 8 Squares and Square Roots

Last updated at August 14, 2026 by

Ex 5.3, 3 - Find square roots of 100 and 169 by repeated subtraction - Ex 5.3

part 2 - Ex 5.3, 3 - Ex 5.3 - Serial order wise - Chapter 5 Class 8 Squares and Square Roots
part 3 - Ex 5.3, 3 - Ex 5.3 - Serial order wise - Chapter 5 Class 8 Squares and Square Roots part 4 - Ex 5.3, 3 - Ex 5.3 - Serial order wise - Chapter 5 Class 8 Squares and Square Roots

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Ex 5.3, 3 Find the square roots of 100 and 169 by the method of repeated subtraction. Square root of 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 To find the square root, we subtract successive odd numbers from the number till we obtain 0. The total numbers you subtract is the square root of number. 69 – 21 = 48 48 – 23 = 25 25 – 25 = 0 Since, after subtracting 13 numbers, we obtained 0. ∴ √𝟏𝟔𝟗 = 13. Since, after subtracting 10 numbers, we obtained 0. ∴ √𝟏𝟎𝟎 = 10. Square root of 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 Since, after subtracting 13 numbers, we obtained 0. ∴ √𝟏𝟔𝟗 = 13. To find the square root, we subtract successive odd numbers from the number till we obtain 0. The total numbers you subtract is the square root of number.

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