Sure! Let's simplify the expression step-by-step.
The given expression is:
[tex]\[
\frac{1}{\sqrt{2+b}}+\frac{1}{2 b^4}
\][/tex]
### Step 1: Simplify each term separately
First, look at each term in the expression independently:
1. [tex]\(\frac{1}{\sqrt{2+b}}\)[/tex]
2. [tex]\(\frac{1}{2 b^4}\)[/tex]
### Step 2: Analyze possible simplifications
Both terms are already in their simplest radical and fractional forms. Since they are separate terms and have different denominators, you can't combine them easily without a common denominator. Given that there are no common factors or common terms in the denominators, simplifying these will require understanding that they are distinct and cannot be combined further.
### Step 3: Conclusion
Since the given expression [tex]\(\frac{1}{\sqrt{2+b}}+\frac{1}{2 b^4}\)[/tex] shows no common factors or terms in the denominators, and the numerators are already simplified as much as possible, we can conclude that this is the simplest form of the expression.
So, the final simplified form of the expression is:
[tex]\[
\frac{1}{\sqrt{2+b}}+\frac{1}{2 b^4}
\][/tex]
No further simplification is possible.
