Question

Find the least number which must be added to 3320 to make it a perfect square

Answer 1

Answer:

-71

Step-by-step explanation:

snj style

Answer 2

Given:

We have given a number which is 3320.

To Find:

We have to find the Least number that should be subtracted to make it a perfect square?

Step-by-step explanation:

Perfect square:

• A number is said to be a perfect square when it can be written as the square form of a natural number.
• Since, we can not represent the number 3320 in the square form of any natural number thus 3320 is not a perfect square.
• If we take the square root of 3320 we get

      $\sqrt{3320} =57.619$

• The square root of number 3320 gives 57.61 which is a rational number that lies between 57 and 58.

• Now the square of the numbers 57 and 58 is written as

       $(57)^2=3249,(58)^2=3364$

• Now the closest number to 3320 between the numbers 3249 and 3364 is  given as

        $3364-3320=44\\3320-3249=71$

• Hence the closest number to 3320 is 3364 which is a square of 58.

Thus, to make 3320 a perfect square 44 must be added.