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Question
If `sqrt784` = 28, find the value of:
`sqrt(0.0784) + sqrt(0.000784)`
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Solution
`sqrt784 = 28`
∴ `sqrt 0.0784 = sqrt(784/10000) = 28/100 = 0.28`
and `sqrt0.000784 = sqrt(784/1000000)`
`= sqrt((28 xx 28)/(10xx10xx10xx 10xx10xx10))`
`= 28/(10 xx 10 xx 10)`
`= 28/1000 = 0.028`
Now,
`sqrt 0.0784 + sqrt0.000784`
= 0.28 + 0.028
= 0.308
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