Question

Find the square root of $99999$ by the long division method.

Answer 1

Solve for the square root of given number:

Given number is $99999$

$\therefore$ By long division,

$\begin{array}{cc}& 316\\ 3& 99999\\ +3& -9\\ 61& 099\\ +1& -61\\ 626& 3899\\ 6& -3756\\ & 143\end{array}$

So, the $99999$ is not a perfect square.

Hence, the square root of $99999$ is nearly equal to $316$.