Question

Question 106

Solve the following question:

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

Answer 1

First, find the square root of 6200 by long division method.
$\begin{array}{cc}& 79\\ 7& \overline{62}\overline{00}\\ & 49\\ 149& 1300\\ & 1341\\ & -41\end{array}$
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 $=\sqrt{79\times 79}=79$