Question

Find the square root of $\frac{1331}{144}$

Answer 1

$\frac{1331}{144}=9.24$

First group $9.24$ into $2$ groups from the right. The groups would be $24$ and $9$.

Find a number whose square is $\le 9$, which is $3$. The remainder in the first step is $0$. Bring the next group down.

The dividend in the second step is $24$ and then double divisor existing divisor to get the divisor in the second step which is $6$.

Now, $6$__* __ should be $\le 24$. This is not possible.

Hence, we add a zero making the second divisor $60$ and also a decimal point and a zero in the quotient.

Now the final dividend becomes 2400.

So, $60$_*_$\le 2400$. So, _ is $3$.

The quotient is $3.03$ and is the root of $9.24$.