Question

Question 1 (v)
Find the square roots of each of the following numbers by Division method:
3249

Answer 1

3249

$\begin{array}{cc}& 57\\ 5& \overline{32}\overline{49}\\ & -25\\ 107& 749\\ & -749\\ & 0\end{array}$

Steps:

Step(i) 3249 is dividend. Pair it in groups of 2 digits i.e $\overline{32}\overline{49}$

Step(ii) Now for divisor,find the perfect square which is not greater than 44 which is $25\left(5^2\right)<5<36\left(6^2\right)$

Step (iii) Now take 2 as divisor and

$\begin{array}{cc}& 5\\ 5& \overline{32}\overline{49}\\ & -25\\ & 7\end{array}$

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 $(107\times 7=749$)

$\begin{array}{cc}107& 749\\ & -749\\ & 0\end{array}$

Hence, the square root of 3249 is 57.