How do you simplify #sqrt(81/x^4)#?

1 Answer
May 7, 2018

Answer:

#=9/x^2#

Explanation:

#sqrt(81/x^4) = (sqrt(81))/(sqrt(x^4))#

We know that #sqrt(x^2)=x#. Which then mean that #sqrt(x^4)=x^2#.

What mulitiples twice to make #81#? Well that's #9#. So from that, we can say that #sqrt(81)=9#.

From there, we will have our answer.
#=9/x^2#

You can learn more about square roots and irrational numbers on this link from Socratic .