How do you simplify sqrt441?

2 Answers
Apr 11, 2016

sqrt(441)=21

Explanation:

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

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

Apr 11, 2016

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.