Question
Mathematics Question on Square Roots of Decimals
Find the square root of each of the following numbers by division method.
- 2304
- 4489
- 3481
- 529
- 3249
- 1369
- 5776
- 7921
- 576
- 1024
- 3136
- 900
(i)The square root of 2304 can be calculated as follows.
| 48
---|---
4| 2ˉ3ˉ0ˉ4ˉ
−16
88| 704
704
| 0
∴2304=48
(ii) The square root of 4489 can be calculated as follows.
| 67
---|---
6| 4ˉ4ˉ8ˉ9ˉ
−36
127| 889
889
| 0
∴4489=67
(iii) The square root of 3481 can be calculated as follows.
| 59
---|---
5| 3ˉ4ˉ8ˉ1ˉ
−25
109| 981
981
| 0
∴3481=59
(iv) The square root of 529 can be calculated as follows.
| 23
---|---
2| 5ˉ2ˉ9ˉ
−4
43| 129
129
| 0
∴529=23
(v) The square root of 3249 can be calculated as follows.
| 57
---|---
5| 3ˉ2ˉ4ˉ9ˉ
−25
107| 749
749
| 0
Hence, the square root of 3249 is 57.
(vi) 1369
| 37
---|---
3| 1ˉ3ˉ6ˉ9ˉ
−9
67| 469
-469
| 0
Hence, the square root of 1369 is 37.
(vii) 5776
| 76
---|---
7| 5ˉ7ˉ7ˉ6ˉ
−49
146| 876
-876
| 0
Hence, the square root of 5776 is 76.
(viii) 7921
| 89
---|---
8| 7ˉ9ˉ2ˉ1ˉ
−64
169| 1521
-1521
| 0
Hence, the square root of 7921 is 89
(ix) 576
| 24
---|---
2| 5ˉ7ˉ6ˉ
−4
44| 176
-176
| 0
Hence, the square root of 576 is 24.
(x) 1024
| 32
---|---
3| 1ˉ0ˉ2ˉ4ˉ
−9
62| 124
-124
| 0
Hence, the square root of 1024 is 32.
(xi) 3136
| 56
---|---
5| 3ˉ1ˉ3ˉ6ˉ
−25
106| 636
-636
| 0
Hence, the square root of 3136 is 56.
(xii) 900
| 30
---|---
3| 9ˉ0ˉ0ˉ
−9
00| 000
-000
| 0
Hence, the square root of 900 is 30.