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Question
Find the decimal fraction which when multiplied by itself gives 84.64.
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Solution
Let the decimal fraction be x.
When a decimal fraction is multiplied by itself, then product = x × x = x2
But product = 84.64 ...[Given]
∴ x2 = 84.64
⇒ x = `sqrt(84.64)`
Now, place the bar over the numbers, then square root is given below.
| 9.2 | |
| 9 | `bar84. bar64` |
| 81 | |
| 182 | 364 |
| 364 | |
| 0 |
∴ x = `sqrt(84.64)` = 9.2
Hence, the required decimal is 9.2.
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