The expression provided is $\sqrt{100x^2}$. To simplify this radical expression:

1. Break the square root into two parts: $\sqrt{100x^2} = \sqrt{100} \times \sqrt{x^2}$

2. Simplify each square root:

   • $\sqrt{100} = 10$
   • $\sqrt{x^2} = x$ (assuming $x \geq 0$)

3. Therefore, the simplified form is: $10x$

The expression $\sqrt{100x^2}$ simplifies to $10x$.

Do you have any questions or need further details?

Here are 5 related questions you could explore:

1. How do you simplify expressions with cube roots?
2. What happens if $x$ can be negative in $\sqrt{x^2}$?
3. How do you simplify the square root of a product like $\sqrt{ab}$?
4. Can you simplify $\sqrt{49x^4}$?
5. How would you simplify $\sqrt{36y^6}$?

Tip: Always check if variables are positive or negative when simplifying square roots, as it may affect the solution.