Question

Find the square root of $196$

Answer 1

Solve for the square root of given number:

Given number is $196$

$\therefore$By prime factorization

$$\begin{gathered} 196=2\times 98 \\ =2\times 2\times 49 \\ =2\times 2\times 7\times 7 \end{gathered}$$

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

Taking Square root on both sides

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

$\therefore \sqrt{196}=14$

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