Math, asked by jyoti6196, 9 months ago

find the smallest 4 digit number which is a perfect square

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Answered by Anonymous

$\huge\underline{ \mathbb\red{❥A} \green{n} \mathbb\blue{S} \purple{w} \mathbb \orange{E} \pink{r}} \:$

The smallest four-digit number is 1000; however that is not a perfect square, so we must examine the successors to 1000, such as 1001, 1002, 1003, … .

You should be able to find the answer by examining no more than two dozen numbers. However, 40% of the candidates may be eliminated because no perfect square can end with any of the digits { 2, 3, 7, 8 ).

None of 1001, 1004, 1005, 1006, 1009 are perfect squares.

Furthermore, the ten’s digit of a perfect square cannot be odd, unless the one's digit is 6; therefore (in the next decade) it is only necessary to test 1016 — which is not a perfect square.

2020 and 2021 do not qualify, either.

322=1024

$\small{\underline{\mathbb{\purple{GodBlessYou}}}}$

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Answered by RashiDahiya

Step-by-step explanation:

1024

is the right answer

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