Question

How do you find the square root $1849$?

Answer 1

Find the square root using prime factorization method:

The prime factors of $1849$ are

$1849=43\times 43$

Therefore the square root of $1849$ is

$$\begin{gathered} 1849=43\times 43 \\ \Rightarrow \sqrt{1849}=\sqrt{43\times 43} \\ \Rightarrow \sqrt{1849}=43 \end{gathered}$$

Hence, the square root of $\mathbf{1849}$ is $\mathbf{43}$.