Question

How do you simplify `sqrt441`?

Answer 1

`sqrt(441)=21`

Explanation:

Using the fact that for `x inRR` we have `sqrt(x^2) = |x|`:

`sqrt(441) = sqrt(21^2)=|21|=21`

Answer 2

21

Explanation:

Let's have a look at some of the factors of 441:
`9*49=441`
`147*3=441`
and (among others) `21*21=441`

Recall that a square number is a number multiplied by itself once.
We can then say that `21^2` ( referred to as 21 squared) is equal to 441. Additionally:

`sqrt(21^2)=sqrt441`

Again, recall that:

`sqrt(n^2)=n`

Therefore, we can rewrite our above problem as:

`21=sqrt441`

Therefore: 21.