Question

Find the least no.wgich must be subtracted from 1060 to make it a perfect square.​

Answer 1

To make 1060 a. Perfect square you need to subtract 60. It is obvious

Answer 2

$Given \: number \: 1060$

3 | 1060 |32

×3| -9

________

62| 160

× 2|-124

________

***** 36

We find by Division Method that ,

The Remainder is 36.

This means , if we subtract 36 from 1060 , We get a perfect square .

Hence, the required least number must be subtracted from 1060 is 36.

$\red{ Required \: perfect \: square } \\= 1060 - 36 \\= 1024\\= \green {32^{2} }$

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