The expression \( x\sqrt{8} \) can be simplified. Here’s how:

1. **Simplifying the square root**: The square root of 8 can be broken down into:
   \[
   \sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2\sqrt{2}
   \]

2. **Substitute back into the expression**:
   \[
   x\sqrt{8} = x \times 2\sqrt{2} = 2x\sqrt{2}
   \]

So, the simplified form of \( x\sqrt{8} \) is \( 2x\sqrt{2} \).

Would you like more details or have any questions?

---

Here are 5 related questions:
1. How do you simplify expressions with square roots?
2. What is the process of rationalizing a denominator?
3. Can all square roots be simplified?
4. How do you solve equations involving square roots?
5. What are the properties of square roots and exponents?

**Tip**: When simplifying square roots, always look for perfect square factors to reduce the expression to its simplest form.

Learn how to simplify the expression x√8 with a detailed step-by-step solution. This problem covers algebraic concepts, including simplifying square roots. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation