Please help me solve this problem. I have an exam coming up next friday and I'm kind of stuck with these type of problems.

Description on how to solve this would be much appreciated.

hi grande punto

that is not an equation,so you can't really solve it!

if you want to simplify it then:
$\sqrt[4]{x^4+x^2+\frac{1}{4}}=\sqrt[4]{(x^2+\frac{1}{2})^2}=\sqrt{x^2+\frac{1}{2}}$

thanks very much for the response. sorry my english in not very good because i study in italian. i meant simplify.

can u please help me understand this. when you simplify, shouldn't it be 4√  (x^2 + 1 + 1/2)^2 how did u get rid of the 1?

try expanding (x^2 + 1/2)^2,and then try expanding (x^2 +1+1/2)^2=(x^2 + 3/2)^2. See what you get.