Question

least number should be subtracted each of the following make them perfect square 85749​

Answer 1

Answer:

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Answer 2

Answer:

The least number 485 should be subtracted from 85749 to make them perfect square.

Step-by-step explanation:

Given: The given number is 85749

To find: The least number to be subtracted from the given number to make it perfect square

Solution:

Given number is 85749

Using long division method we have to find the perfect

                     292

                 ______________

          2   )   85749​

                   4

                _______________

        49       4 5 7

                    4 4 1

                _______________

    582            1 6 4 9

                        1 1 6 4

                  _______________

                          4 8 5

                  ________________

Quotient = 292

Remainder = 485

Here the remainder is not equal to zero

So 85749 is not a perfect square.

Now we need to find ,

The least number that must be subtracted from 85749 to get a perfect square.

Therefore we subtract 485 which is remainder from 85749 then we get 85264.

   That is  85749 - 485 = 85264

Hence 85264 is a perfect square.

85264 = $(292)^{2}$

Square root of  85264 = 292

Final answer:

The least number 485 should be subtracted from 85749 to make them perfect square;

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