https://file.aiquickdraw.com/mathbot/file/1725844228207wnkfapxy.jpg

Write this expression in simplest radical form

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.

Write this expression in simplest radical form: \( \sqrt{100x^2} \)

Learn how to simplify the radical expression \( \sqrt{100x^2} \) with a step-by-step guide. This solution explains the process of breaking down the square root and simplifying it to the form 10x, using core algebraic principles. Suitable for Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation