Caluclation of square root of any perfect square
Byheart the following
| Rule | Number ending with | Then Last digit of square root |
|---|
| I | 1 | either 1 or 9 |
| II | 4 | either 2 or 8 |
| III | 9 | either 3 or 7 |
| IV | 6 | either 4 or 6 |
| V | 5 | 5 |
Procedure of calculation
| Step no | Procedure |
|---|
| 1 | find the last digit of square root based on above rules |
| 2 | remove last two digits from the number |
| 3 | find the square root of remaining digits of number and take least value (l) |
| 4 | multiply M = l * (l+1) |
| 5 | if Remaining digits > M then take last digit = highest among two numbers other wise take lowest |
| 6 | place l,lastdigit side by side |
calculation of square root of 1024
| Step no | Procedure |
|---|
| 1 | last digit = either 2 or 8 |
| 2 | After removing last two digits, remaining =10 |
| 3 | square root of 10 = 3 approx l = 3 |
| 4 | 3 * 4 = 12 |
| 5 | 10 < 12 then last digit = 2 |
| 6 | 32 (l last digit placing side by side) |
calculation of square root of 1444
| Step no | Procedure |
|---|
| 1 | last digit = either 2 or 8 |
| 2 | After removing last two digits, remaining =14 |
| 3 | square root of 10 = 3 approx l = 3 |
| 4 | 3 * 4 = 12 |
| 5 | 14 > 12 then last digit = 8 |
| 6 | 38 (l last digit placing side by side) |
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