Question

Please tell the following answers
1) Find the least number which should be added to 1300 to make it a perfect square.Also find the square root of the perfect square
2)Find the least six digit number which is a perfect number .

Answer 1

here is your answer

1)Solution :

If we try to calculate the square root of 13001300, then we get a remainder 44.

So, if we subtract 44 from 13001300 then we get a perfect square.

So, perfect square = 1300−4=12961300-4=1296

The square root of 1296=361296=36

It means, 372>1300>362372>1300>362.

So, 372=1369372=1369

As 13691369 is a perfect square, if we add 6969 to 13001300, then we get a perfect square.

2)The smallest 6 digit number is 100000 We find the square root of 100000 with a calculator: = 316.227766 We take the next larger whole number 317 We square 317 317² = 100489 That's the smallest perfect square which is a 6-digit number, because when we square 316 we only get

Answer 2

Answer:

1)69 should be added to 1300

square root of 1369 is 37

2) 100489

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