Question

Square root of $144.26$ by Sub-sutra Anurupenya method is?

• A. $12.011$
• B. $12.014$
• C. $12.031$
• D. $12.012$

Answer 1

The correct option is A $12.011$

Below are the steps to find the square-root.

1) Group terms in a pair of $2$ from right to left. Since it has $5$ digits, $1^{st}$ group will have $1$ digit(1). Write down as shown beside.

2) Find the perfect square root of $\le$ left most number(1) which is $1$.

Write down the $1$ on the left side. Then add 1 to that to get $2$. Write the same square-root $1$ below $1$ and carry forward the difference between above number and perfect square $(1-1)=0$

3) Now divide $04$ by obtained $2$=(Quotient $2$, Remainder $0$). Write Quotient below and carry forward the remainder.

4) Calculate Dvanda of numbers present after second vertical line. $D\left(2\right)=4$. Subtract the obtained(4) from $4$. Write quotient below and carry forward the remainder. Repeat the procedure. Decimals are not considered until the last answer and they are put in similar ways.

Thus the square root of $144.26$ is $12.011$ Option A.