Q.

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.
Question ImageSubtract the remainder from the dividend,
402-2 = 400 The square root of 400 = 20.
Therefore, the required numbers are 2 and 20.
 
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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 ____.