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Question
A decimal number is multiplied by itself. If the product is 51.84, find the number.
Solution
Let the number be x.
Then, product = x × x = x2
But product = 51.84 ...[Given]
∴ x2 = 51.84
⇒ x = `sqrt(51.84)`
Now, place the bar over the numbers, then square root is given below.
∴ x = `sqrt(51.84)` = 7.2
| 7.2 | |
| 7 | `bar51. bar84` |
| 49 | |
| 142 | 284 |
| 284 | |
| 0 |
Hence, the required number is 7.2
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