How do you simplify #sqrt441#?

2 Answers
Apr 11, 2016

Answer:

#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

Answer:

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.