Question

What is the value of the square root of 169?

Answer 1

Hint: For solving our problem, we will first expand the number into prime factors and then evaluate the root of the required number.

Complete step-by-step answer:
In this problem, we are required to find the value of the square root of 169. Now, by doing the prime factorisation of 169, we get
$169=13\times 13\ldots (1)$
Now, taking the root of both sides of equation (1), we get
$\begin{align}
  & 169={{13}^{2}} \\
 & \sqrt{169}=\sqrt{{{13}^{2}}} \\
 & \Rightarrow 13. \\
\end{align}$
Therefore, the answer is 13.

Note The key step in solving this problem is the knowledge of the number system and different ways of representation of number. Apart from this, the concept of square and square root of a number must be clear. Students must memorize the square of numbers from 2 to 20 for directly obtaining the answer.