Question

what is the least number that should be added to 6200 to make it a perfect square by long division method

Answer 1

We need to add the reminder with the given number.

Answer 2

$<b>Answer:</b>$

79

$<b>Step-by-step explanation:</b>$

         78

         -------

    7 | 6200

       | 49

         --------

148 |  1300

          1184

       -----------

             116

We observe that 78² < 6200 < 79².

Hence, the number to be added is:

= 79² - 6200

= 6241 - 6200

= 41

Therefore, the perfect square is 6200 + 41 = 6241.

⇒ √6241 = 79.

$\textbf{Hence, the required number is 41 and the square root is 79.}$

Hope it helps!