Question

What is the square root of $145$?

Answer 1

Determine the square root of $145$.

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

Find the prime factors of $145$:

$145=29\times 5$

Take square root from both sides of the above equation:

$$\begin{gathered} \sqrt{145}=\sqrt{29\times 5} \\ \Rightarrow \sqrt{145}=\sqrt{29}\times \sqrt{5} \\ \Rightarrow \sqrt{145}=5.38516480713\times 2.2360679775 \\ \Rightarrow \sqrt{145}=12.0415945788 \end{gathered}$$

Hence, the square root of$145$ is$“12.0415945788”$.