# How do you simplify sqrt442?

Jul 22, 2016

$\sqrt{442}$ cannot be simplified further.

#### Explanation:

$\sqrt{442}$

As $442$ is clearly divisible by $2$, hence sqrt442=sqrt(2×221)

Now to check further divisibility one should try till $15$ as it is approximately equal to square root of $221$. One finds it is divisible by $13$ and dividing one finds 221=13×17 and hence

sqrt442=sqrt(2×13×17)

Now, it is observed that one cannot take any number out as no prime factors occurs twice and hence

$\sqrt{442}$ cannot be simplified further.