Great question! Let's revisit that step to clarify.

Initially, we have the term \(2\sqrt{32}\). Here's the correct simplification process:

1. **Simplify the square root**:
   - \(\sqrt{32} = \sqrt{16 \times 2} = \sqrt{16} \times \sqrt{2} = 4\sqrt{2}\)

2. **Multiply the coefficient by the simplified square root**:
   - The original term was \(2\sqrt{32}\). After simplifying \(\sqrt{32}\) to \(4\sqrt{2}\), we multiply the 2 by the 4:
   \[
   2\sqrt{32} = 2 \times 4\sqrt{2} = 8\sqrt{2}
   \]

So, the 2 didn’t disappear—it was multiplied by the 4 (which came from \(\sqrt{16}\)) to give \(8\sqrt{2}\).

Let me know if you'd like any more clarification or have further questions!

Here are some related questions for practice:

1. Simplify the expression \(3\sqrt{50} + 5\sqrt{18}\).
2. How do you simplify \(7\sqrt{24} - 2\sqrt{54}\)?
3. What is the result of \(6\sqrt{8} + 4\sqrt{32}\)?
4. Simplify \(5\sqrt{72} - \sqrt{128}\).
5. What is the simplified form of \(4\sqrt{200} - 3\sqrt{50}\)?

**Tip:** Always simplify the square roots first before applying any multiplication or addition.

Explore the simplification process of √32 with detailed steps and examples. Learn how to handle square roots and coefficients effectively in algebraic expressions. Suitable for high school students and anyone interested in algebra and mathematical simplification.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation