Math, asked by JayTarpara9788, 9 months ago

What is the least number should be multiplied with 10082 to get a perfect square

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Answered by CharmingPrince
20

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✸ Here, we have to list the least number should be multiplied with 10082 to get a perfect square.

➦ For this, First of all let's take its factor.

➦ The factors of 10082 are 2 × 71 × 71 .

➦ Here, we have a pair of 71 but not of 2 ; so, we will multiply 2 by 10082 .

➦ Multiple 2 to 10082 that is 20164 ; which is a perfect square.

➦ The square root of √20164 is 142.

Refer to the attachment, for the required picture of the solution.

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