Question

What is the square root of 14?

Answer 1

Determine the square root of$14$.

The square root of a number is the value that returns the original number when multiplied by itself.

Find the prime factors of$14$:

$14=2\times 7$

Take the square root from both sides of the above equation:

$$\begin{gathered} \sqrt{14}=\sqrt{2\times 7} \\ \Rightarrow \sqrt{14}=\sqrt{2}\times \sqrt{7} \\ \Rightarrow \sqrt{14}=1.414\times 2.645 \\ \Rightarrow \sqrt{14}=3.741657387 \end{gathered}$$

Hence, the square root of $14$ is $3.741657387$.