Question

What is the least number that should be added to 6200 to make it a perfect square?

• A. 41
• B. 34
• C. 79
• D. 80

Answer 1

The correct option is A

41

Firstly, we use long division method to find the square root of 6200. For that, we will group 2 numbers from right to left and then proceed with the division.

$\begin{array}{cc}& 79\\ 7& \overline{62}\overline{00}\\ & -49\\ 149& 1300\\ & -1341\\ & -41\end{array}$

Hence, the least number is 41, which should be added to 6200 to make it a perfect square
and the perfect square number = 6200 + 41 = 6241
$\therefore$ Square root of 6241 $=\sqrt{79\times 79}=79$