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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.

796

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 12 is subtracted from 796, the remainder will be a perfect square.

Since, 796 - 12 = 784

and, 784=28\sqrt{784} = 28

Hence, 12 should be subtracted from 796.

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