Question

Question 1 (ii)
Find the square roots of each of the following numbers by Division method:

4489

Answer 1

4489

$\begin{array}{cc}& 67\\ 6& \overline{44}\overline{89}\\ & -36\\ 127& 889\\ & -889\\ & 0\end{array}$
Steps
Step(i)4489 is dividend. Pair it in groups of 2 digits i.e $\overline{44}\overline{89}$
Step(ii)Now for divisor,find the perfect square which is not greater than 44 which is $36\left(6^2\right)<44<49\left(7^2\right)$
Step (iv)andNow take 6 as divisor and
$\begin{array}{cc}& 67\\ 6& \overline{44}\overline{89}\\ & -36\\ & 8\end{array}$
Step(v)Now for new divisior double the old divisior and find a digit such that product of digit and the new divisor appended with that digit is the biggest number not greater than the new dividend and perform the division $(127\times 7=889$)
$\begin{array}{cc}127& 889\\ & -889\\ & 0\end{array}$

Hence, the square root of 4489 is 67.