Question

Find the least number that must be subtracted from 5609 to get a perfect square

Answer 1

Answer:

Let us try to find

5607

by long division method.

We get the remainder 131. This shows that 74

2

is less than 5607 by 131.

This means if we subtract the remainder from the number we get a perfect square.

Therefore, the required perfect square is 5067−131=5467 and

5476

=74.

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