Question

Find the square root of $196$ by using the prime factorization method

Answer 1

Find the square root of $196$

To find the square root we will do the prime factorization of $196$.

$196=2\times 2\times 7\times 7$

Taking square root on both sides, we get;

$$\begin{gathered} \sqrt{196}=\sqrt{2\times 2\times 7\times 7} \\ \Rightarrow \sqrt{196}=2\times 7 \end{gathered}$$

$\Rightarrow \sqrt{196}=14$

Hence, the square root of $196$ is$14$.