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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.

23497

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 88 is subtracted from 23497, the remainder will be a perfect square.

Since, 23497 - 88 = 23409

and, 23409=153\sqrt{23409} = 153

Hence, 88 should be subtracted from 23497.

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