Question

find the smallest even number whose square is greater than 1020​

Answer 1

32 is the smallest even no.

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Answer 2

We find by division method

3 | 1020 | 32

×3| 9

________

62| 120

×2| 124

________

******(-4)

The remainder is (-4) .

This means ,if we must add 4 to 1020 we get a perfect square.

Therefore.,

$\red { 1024 } \green {= 32^{2}}$

/*The smallest even number whose square is greater than 1020 is 32 . */

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