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प्रश्न
Find the square root of 0.065 correct to three places of decimal.
उत्तर
| 0.2549 | |
| 2 | 0.06500000 04 |
| 45 | 250 225 |
| 504 | 2500 2016 |
| 5089 | 48400 45801 |
| 2599 |
`sqrt0.065`
Write 0.065 as 65×10−3. Using the property of square roots:
`sqrt0.065 = sqrt (65xx10^-3) = sqrt65.sqrt(10^-3)`
`sqrt(10^-3) = 10^-3/2 = 10^-1.5 = 0.0316`
Approximate `sqrt 65`
The square root of 65 is approximately 8.062.
Multiply the results
`sqrt 0.065 = sqrt65.sqrt(10^-3)`
= 8.062⋅0.0316
= 0.255
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