Question

square root of 12544 by division method

Answer 1

square root of 12544 in division method

Answer 2

Concept:

The root of variety is defined because the value, which provides the amount when it's multiplied by itself.

Given:

The given number is $12544$.

Find:

We have to seek out the root of a given number using the division method.

Solution:

Let us have a look at the division process thoroughly while computing the root of $12544$.  the primary step is to contemplate the primary pair of digits from$12544$ which is $1$. we'll subtract the most important square which is a smaller amount than $1$ from it. So, we have

$\begin{array}{llllll}{& 1& 1& 2 & &\\ 1& 1& 2& 5 & 4& 4\\ -& 1& \downarrow & \downarrow & &\\ 21 & 0 & 2 & 5 & & \end{array}$

Now, we'll double the quotient for the subsequent step and add another digit within the units place to that in order that this new number multiplied to the digit within the units place to induce the very best number which is a smaller amount than the rest. we are going to choose the digit $2$, so that $222\times 2=444$. Representing this within the division format, we get the subsequent,

$\begin{array}{llllll}{& 1& 1& 2 & &\\ 1& 1& 2& 5 & 4& 4\\ -& 1& \downarrow & \downarrow & &\\ 21 & 0 & 2 & 5 & & \\ - & & 2& 1 & \downarrow & \downarrow \\ 222 & & 0 & 4 & 4& 4\\ - & & & 4& 4& 4 \\ & & & & &0\end{array}$

Hence, the root of $12544$ is $112.$

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