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Find the square root using the long division method: .

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answer is A.

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Detailed Solution

Concept:
Given:-

Add one to the result after multiplying 101 by 400 to get the improper fraction of.

As a result, an improper fraction has the value.

Now use the long division method to find the square root of 40401.

https://lh6.googleusercontent.com/kghtq7Etc_Y7hlaURIT2Y3MzNunOt8_kzwtzDSqo1sttOW0ru9YcM3ZM-Umb2SQA3Xu6aws5jUrYUDChNCHsMAGDCgPtqhsYfiV-mfEE1S5U7AgkkNHi-ymeeqoturwsFSppYEQNx-iRV95vIkMBQg

For 400, the long division method is

https://lh3.googleusercontent.com/5F2_OD56TSVy0vxIkNoRq6UCVtmaQhQsV6TqY7XknjbFuK5L0FEPPgjLjXgf5lJq7CAdS_84DuysjbK5H1Lz-s9COlWcBDNndkA3I_CR2CI-41TiESJqMywC8Azmvpg2-Zf9icnO2sS_Af5mZm_iiA

Consequently, 20 is the square root of the number 400.
So the square root of

.
Now,

in a mixed fraction is

.
Thus,

.
Hence, the correct answer is option 1)

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