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Question

Find the least number that must be subtracted from 5607 so as to get a perfect square. Also find the square root of the perfect square.

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Solution

First we will find the square root of 5607using, long division method.


Here, the remainder is 131.

Therefore, 131 must be subtracted from 5607, to make it a perfect square.

5607131=5476.

Now,


Therefore, 5476=74

88 x 133

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