Classify if is rational or Irrotional number
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Ask by Mathis Carrillo. in South Africa

Jan 16,2025

Question

Classify if is rational or Irrotional number $$ \sqrt{25},-65,2,-\sqrt{8} $$, $$ 3,14, \pi \sqrt[3]{-27}, \sqrt{3} $$ $$ \frac{1}{5}, 0,36 $$

UpStudy AI · Accepted Answer

Sure! Let's classify each number as **rational** or **irrational**.

### **Rational Numbers**

A **rational number** can be expressed as a fraction $$\frac{a}{b}$$ where $$a$$ and $$b$$ are integers and $$b 
eq 0$$.

1. **$$\sqrt{25}$$**  
   $$\sqrt{25} = 5$$  
   **Rational**

2. **$$-65$$**  
   **Rational**

3. **$$2$$**  
   **Rational**

4. **$$3$$**  
   **Rational**

5. **$$14$$**  
   **Rational**

6. **$$\sqrt[3]{-27}$$**  
   $$\sqrt[3]{-27} = -3$$  
   **Rational**

7. **$$\frac{1}{5}$$**  
   **Rational**

8. **$$0$$**  
   **Rational**

9. **$$36$$**  
   **Rational**

### **Irrational Numbers**

An **irrational number** cannot be expressed as a simple fraction; its decimal representation is non-repeating and non-terminating.

1. **$$-\sqrt{8}$$**  
   $$-\sqrt{8} = -2\sqrt{2}$$  
   **Irrational**

2. **$$\pi$$**  
   **Irrational**

3. **$$\sqrt{3}$$**  
   **Irrational**

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### **Summary**

- **Rational Numbers:** $$\sqrt{25}$$, $$-65$$, $$2$$, $$3$$, $$14$$, $$\sqrt[3]{-27}$$, $$\frac{1}{5}$$, $$0$$, $$36$$

- **Irrational Numbers:** $$-\sqrt{8}$$, $$\pi$$, $$\sqrt{3}$$

If you have any further questions or need additional explanations, feel free to ask!
**Rational Numbers:** $$\sqrt{25}$$, $$-65$$, $$2$$, $$3$$, $$14$$, $$\sqrt[3]{-27}$$, $$\frac{1}{5}$$, $$0$$, $$36$$ **Irrational Numbers:** $$-\sqrt{8}$$, $$\pi$$, $$\sqrt{3}$$

Classify if is rational or Irrotional number
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