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Mathematics

For each of the following, find the least number that must be subtracted so that the resulting number is a perfect square.

1886

Sq & Sq Roots

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Answer

Using division method:

For each of the following, find the least number that must be subtracted so that the resulting number is a perfect square. Squares and Square Roots, Concise Mathematics Solutions ICSE Class 8.

Clearly, if 37 is subtracted from 1886, the remainder will be a perfect square.

Since, 1886 - 37 = 1849

and, 1849=43\sqrt{1849} = 43

Hence, 37 should be subtracted from 1886.

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