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Find the square root of each of the long division method.
(i) 12544
(ii) 97344
(iii) 286225
(iv) 390625
(v) 363609
(vi) 974169
(vii) 120409
(viii) 1471369
(ix) 291600
(x) 9653449
(xi) 1745041
(xii) 4008004
(xiii) 20657025
(xiv) 152547201
(xv) 20421361
(xvi) 62504836
(xvii) 82264900
(xviii) 3226694416
(xix) 6407522209
(xx) 3915380329.
To do:
We have to find the square root of the given numbers using long division method.
Solution:
(i) Square root of 12544 is,
| 112 | |
| 2 | 12544 1 |
| 21 | 25 21 |
| 222 | 444 444 |
| 0 |
Therefore,
The square root of 12544 is 112.
(ii) Square root of 97344 is,
| 312 | |
| 3 | 97344 9 |
| 61 | 73 61 |
| 622 | 1244 1244 |
| 0 |
Therefore,
The square root of 97344 is 312.
(iii) Square root of 286225 is,
| 535 | |
| 5 | 286225 25 |
| 103 | 362 309 |
| 1065 | 5325 5325 |
| 0 |
Therefore,
The square root of 286225 is 535.
(iv) Square root of 390625 is,
| 625 | |
| 6 | 390625 36 |
| 122 | 306 244 |
| 1245 | 6225 6225 |
| 0 |
Therefore,
The square root of 390625 is 625.
(v) Square root of 363609 is,
| 603 | |
| 6 | 363609 36 |
| 1203 | 3609 3609 |
| 0 |
Therefore,
The square root of 363609 is 603.
(vi) Square root of 974169 is,
| 987 | |
| 9 | 974169 81 |
| 188 | 1641 1504 |
| 1967 | 13769 13769 |
| 0 |
Therefore,
The square root of 974169 is 987.
(vii) Square root of 120409 is,
| 347 | |
| 3 | 120409 9 |
| 64 | 304 256 |
| 687 | 4809 4809 |
| 0 |
Therefore,
The square root of 120409 is 347.
(viii) Square root of 1471369 is,
| 1213 | |
| 1 | 1471369 1 |
| 22 | 47 44 |
| 241 | 313 241 |
| 2423 | 7269 7269 |
| 0 |
Therefore,
The square root of 1471369 is 1213.
(ix) Square root of 291600 is,
| 540 | |
| 5 | 291600 25 |
| 104 | 416 416 |
| 1080 | 000 000 |
0 |
Therefore,
The square root of 291600 is 540.
(x) Square root of 9653449 is,
| 3107 | |
| 3 | 9653449 9 |
| 61 | 65 61 |
| 6207 | 43449 43449 |
0 |
Therefore,
The square root of 9653449 is 3107.
(xi) Square root of 1745041 is,
| 1321 | |
| 1 | 1745041 1 |
| 23 | 74 69 |
| 262 | 550 524 |
| 2641 | 2641 2641 |
| 0 |
Therefore,
The square root of 1745041 is 1321.
(xii) Square root of 4008004 is,
| 2002 | |
| 2 | 4008004 4 |
| 4002 | 008004 008004 |
| 0 |
Therefore,
The square root of 4008004 is 2002
(xiii) Square root of 20657025 is,
| 4545 | |
| 4 | 20657025 16 |
| 85 | 465 425 |
| 904 | 4070 3616 |
| 9085 | 45425 45425 |
| 0 |
Therefore,
The square root of 20657025 is 4545.
(xiv) Square root of 152547201 is,
| 12351 | |
| 1 | 152547201 1 |
| 22 | 52 44 |
| 243 | 854 729 |
| 2465 | 12572 12325 |
| 24701 | 24701 24701 |
| 0 |
Therefore,
The square root of 152547201 is 12351.
(xv) Square root of 20421361 is,
| 4519 | |
| 4 | 20421361 16 |
| 85 | 442 425 |
| 901 | 1713 901 |
| 9029 | 81261 81261 |
| 0 |
Therefore,
The square root of 20421361 is 4519.
(xvi) Square root of 62504836 is,
| 7906 | |
| 7 | 62504836 49 |
| 149 | 1350 1341 |
| 15806 | 94836 94836 |
| 0 |
Therefore,
The square root of 62504836 is 7906.
(xvii) Square root of 82264900 is,
| 9070 | |
| 9 | 82264900 81 |
| 1807 | 12649 12649 |
| 19140 | 000 00 |
| 0 |
Therefore,
The square root of 82264900 is 9070.
(xviii) Square root of 3226694416 is,
| 56804 | |
| 5 | 3226694416 25 |
| 106 | 726 636 |
| 1128 | 9069 9024 |
| 113604 | 454416 454416 |
| 0 |
Therefore,
The square root of 3226694416 is 56804.
(xix) Square root of 6407522209 is,
| 80047 | |
| 8 | 6407522209 64 |
| 16004 | 075222 64016 |
| 160087 | 1120609 1120609 |
| 0 |
Therefore,
The square root of 6407522209 is 80047.
(xx) Square root of 3915380329 is,
| 62573 | |
| 6 | 3915380329 36 |
| 122 | 315 244 |
| 1245 | 7138 6225 |
| 12507 | 91303 87549 |
| 125143 | 375429 375429 |
| 0 |
Therefore,
The square root of 3915380329 is 62573.
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