Question

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

7921

Answer 1

7921

$\begin{array}{cc}& 89\\ 8& \overline{79}\overline{21}\\ & -64\\ 169& 1521\\ & -1521\\ & 0\end{array}$
Steps
Step(i)7921 is dividend. Pair it in groups of 2 digits i.e $\overline{79}\overline{21}$
Step(ii)Now for divisor,find the perfect square which is not greater than 44 which is $64\left(8^2\right)<79<81\left(9^2\right)$
Step (iii)andNow take 6 as divisor and
$\begin{array}{cc}& 8\\ 8& \overline{79}\overline{21}\\ & -64\\ & 15\end{array}$
Step(iv)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 $(169\times 9=1521$)
$\begin{array}{cc}169& 1521\\ & -1521\\ & 0\end{array}$

Hence, the square root of 7921 is 89.