The least number which has to subtracted from 402 to obtain a perfect square is and the square root of the perfect square obtained is .

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Detailed Solution

The least number which has to subtracted from 402 to obtain a perfect square is 2 and the square root of the perfect square obtained is 20.
Proceed by performing long division on 402.
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Subtract the remainder from the dividend,

\Rightarrow 402 - 2 = 400

The square root of 400 = 20.
Therefore, the required numbers are 2 and 20.

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