Math, asked by 7903541803, 1 year ago

Find the least number which when added to 6321 makes it a perfect square

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Answered by sourav475
18
You might know the trick to evaluate square of any number in form 10a+ 5.

The square of such number is a x (a + 1)/25

For example 45^2 = 4 x 5/25 = 2025

55^2 = 5 x 5/25 =2525

So, as 60^2 = 3600 and 65^2 = 4225, the number 4321 must lie between 65 square and 66 square.

Now, 66^2 - 4321 = 4356 - 4321 = 35

hope you understand by thus example
Answered by 1765
26

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