Unit 1 Worksheet 2 Square and Square Roots class- 8 DAV Secondary Mathematics Solutions

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DAV SOLUTIONS CLASS 8 Secondary Mathematics Unit 1 Worksheet 2

Find the square root of the following 1. 16 2. 49 3. 64 4. 100 5. 169 6.81 7.256 8.144

Question1 :√16 

16 – 1 = 15 (ii) 15 – 3 = 12 (iii) 12 – 5 = 7 (iv) 7 – 7 = 0
We have subtracted the successive odd numbers from 16 and obtained 0 in the forth
step. 16 = 4

Question2: √49
(1) 49 – 1 = 48 (ii) 48 – 3 = 45 (ül) 45 – 5 = 40 (iv) 40 – 7 = 33
(v) 33 – 9 = 24 (vi) 24 – 11 = 13 (vii) 13 – 13 = 0
We have subtracted the successive odd numbers from 49 and obtained 0 in the seventh
step… √49= 7

Question3: √64
(1) 64 – 1 = 63 (ii) 63 -3 = 60 (iii) 60 – 5 = 55 (iv) 55 – 7 = 48
(V) 48 – 9 = 39 (vi) 39 – 11 = 28 (vii) 28 – 13 = 15 (viii) 15 – 15 = 0
We have subtracted the successive odd numbers from 64 and obtained 0 in the eighth
step. V64 = 8

Question4: √100
(1) 100 – 1 = 99 (il) 99 – 3 = 96 (iii) 96 – 5 = 91 (iv) 91 – 7 = 84
(V) 84 – 9 = 75 (vi) 75 – 11 = 64 (vii) 64 – 13 = 51 (viii) 51 – 15 = 36
(ix) 36 – 17 = 19 (x) 19 – 19 = 0
We have subtracted the successive odd numbers from 100 and obtained 0 in the tenth
step.

√100=10

Question 5: √169
(1) 169 -1 = 168 (ii) 168-3 = 165 (iii) 165 – 5 = 160 (iv) 160 – 7 = 153
(V) 153 – 9 = 144 (vi) 144 – 11 = 133 (vii) 133 – 13 = 120 (viit) 120 – 15 = 105
(ix) 105 – 17 = 88 (x) 88 – 19 = 69 (x1) 69 – 21 = 48 (xii) 48 – 23 = 25
(xiii) 25 – 25 = 0
We have subtracted successive odd numbers from 169 and obtained 0 in the thirteenth
step.
√169 = 13

Question6: √81

(1) 81 – 1 = 80 (ii) 80 – 3 = 77 (iii) 77 – 5 = 72 (iv) 72 – 7 = 65
(v) 65 – 9 = 56 (vi) 56 – 11 = 45 (vii) 45 – 13 = 32 (viii) 32 – 15 = 17
(ix) 17 – 17 = 0
We have subtracted successive odd natural numbers from 81 and obtained 0 in the ninth
step.
..
√81 = 9.

Question7: √256
(1) 256 – 1 = 255 (ii) 255-3 = 252 (iii) 252 – 5 = 247 (iv) 247 – 7 = 240
(v) 240 – 9 = 231 (vi) 231 – 11 = 220 (vii) 220 – 13 = 207 (viii) 207 – 15 = 192
(ix) 192 – 17 = 175 (x) 175 – 19 = 156 (xi) 156 – 13 = 135 (xii) 135 – 15 = 112
(xiii) 112 – 25 = 87 (xiv) 87 – 27 = 60 (xv) 60 – 29 = 31 (xvi) 31 – 31 = 0
We have subtracted successive odd natural numbers from 256 and obtained 0 in the
sixteenth step.
..
√256 = 16.

Question 8 : √144

144 – 1 = 143 2. 143 -3 = 140 3. 140 – 5 = 135 4. 135 – 7 = 128

128 – 9 = 119 6. 119 – 11 = 108 7. 108 – 13 = 95 8. 95 – 15 = 80

80 – 17 = 63 10. 63 – 19 = 44 11. 44 – 21 = 23 12. 23 – 23 = 0
We have subtracted successive odd natural numbers from 144 and obtained 0 in the
twelfth step.

√144 = 12.