https://r2.erweima.ai/mathbot/image/1726590309790v6lp1g2f.jpg

The image contains a set of mathematical expressions under the instruction "Simplificar" (Simplify). Here are the simplified forms of each expression:

1. \( \sqrt{9} \)  
   Simplification: \( 3 \)

2. \( \sqrt{4} \)  
   Simplification: \( 2 \)

3. \( \sqrt[3]{27} \)  
   Simplification: \( 3 \)

4. \( \sqrt{16} \)  
   Simplification: \( 4 \)

5. \( \sqrt[3]{64} \)  
   Simplification: \( 4 \)

6. \( \sqrt{25a^2b^2} \)  
   Simplification: \( 5ab \)

7. \( 5 \sqrt{49a^6b^4} \)  
   Simplification: \( 35a^3b^2 \)

8. \( 8 \sqrt[3]{a^4b^6} \)  
   Simplification: \( 8ab^2 \sqrt[3]{a} \)

9. \( \sqrt[3]{32x^5y^3} \)  
   Simplification: \( 2x^2y \sqrt[3]{4x} \)

Would you like more details on any of these? 

Here are five related questions to extend your understanding:

1. How do you determine whether to simplify using square roots or cube roots?
2. What are the steps to simplify radicals involving variables?
3. How does factoring help in simplifying expressions with higher powers?
4. Can you apply these principles to radicals with fractional exponents?
5. What happens if the radical contains negative numbers?

**Tip:** Always look for perfect squares or cubes inside the radical to make simplifications easier.

This exercise simplifies radicals, including square and cube roots, with variables and exponents. Learn how to simplify expressions such as \( \sqrt{9} \), \( \sqrt[3]{64} \), and \( \sqrt{25a^2b^2} \), applying algebraic principles 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