Question

How do you simplify `sqrt442`?

Answer 1

`sqrt442` cannot be simplified further.

Explanation:

`sqrt442`

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

`sqrt442` cannot be simplified further.