Question: tan inverse squereroot of x
1. **State the problem:** Find the expression for $\tan^{-1}(\sqrt{x})$.
2. **Recall the definition:** The function $\tan^{-1}(y)$, also called arctangent, gives the angle whose tangent is $y$.
3. **Interpret the problem:** Here, the input to arctangent is $\sqrt{x}$, the square root of $x$.
4. **No further simplification is possible without additional context or constraints on $x$.**
5. **Summary:** The expression $\tan^{-1}(\sqrt{x})$ represents the angle whose tangent is the square root of $x$.
This is the final form unless a specific value or range for $x$ is given.