Question

What is the square root of $42$?

Answer 1

Determine the square root of $42$.

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

Find the prime factors of $42$:

$42=2\times 3\times 7$

Take square root from both sides of the above equation:

$$\begin{gathered} \sqrt{42}=\sqrt{2\times 3\times 7} \\ \Rightarrow \sqrt{42}=\sqrt{2}\times \sqrt{3}\times \sqrt{7} \\ \Rightarrow \sqrt{42}=1.414\times 1.732\times 2.64 \\ \Rightarrow \sqrt{42}=6.4807 \end{gathered}$$

Hence, the square root of $42$ is $6.4807$.