Question

Find the least number which must be added to each of the following numbers to make them a perfect square. Also find the square root's of the perfect square number so obtained.
$5678$

Answer 1

$\begin{array}{c}{75}^2<5678\\ \Rightarrow {76}^2=5776\\ \Rightarrow numbertobeadded\\ {76}^2-{75}^2=5776-5678=98\\ \Rightarrow Therefore,theperfectsquaresoobtainedis\\ 5678+98=5776\\ \Rightarrow Itssquareroot=\sqrt{5776}=78Ans.\end{array}$